BEGIN:VCALENDAR
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BEGIN:VEVENT
SUMMARY:Prof. BV Rajarama Bhat (ISI Bangalore)
DTSTART:20200819T103000Z
DTEND:20200819T113000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /1/">A caricature of dilation theory</a>\nby Prof. BV Rajarama Bhat (ISI B
 angalore) as part of Webinars on Operator Theory and Operator Algebras\n\n
 \nAbstract\nWe present a set-theoretic version of some basic dilation resu
 lts of operator theory. The results we have considered are Wold decomposit
 ion\, Halmos dilation\, Sz. Nagy dilation\, inter-twining lifting\, commut
 ing and non-commuting dilations\, BCL theorem etc. We point out some natur
 al generalizations and variations.  This is a joint work with  Sandipan De
  and Narayan Rakshit.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sameer Chavan (IIT Kanpur)
DTSTART:20200909T113000Z
DTEND:20200909T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /3/">Dirichlet-type spaces on the unit ball and joint 2-isometries</a>\nby
  Sameer Chavan (IIT Kanpur) as part of Webinars on Operator Theory and Ope
 rator Algebras\n\n\nAbstract\nWe discuss a formula that relates the spheri
 cal moments of the multiplication tuple on a Dirichlet-type space to a com
 plex moment problem in several variables. This can be seen as the ball-ana
 logue of a formula originally invented by Richter. One may capitalize on t
 his formula to study Dirichlet-type spaces on the unit ball and joint 2-is
 ometries. This talk is based on a joint work with Rajeev Gupta and Md Rami
 z Reza.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sutanu Roy (NISER)
DTSTART:20200916T113000Z
DTEND:20200916T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /4/">Quantum group contraction and bosonisation</a>\nby Sutanu Roy (NISER)
  as part of Webinars on Operator Theory and Operator Algebras\n\n\nAbstrac
 t\nAbstract: In 1953  İnönü and Wigner introduced group contraction: a 
 systematic (limiting) process to obtain from a given Lie group a non-isomo
 rphic Lie group. For example\, the contraction of SU(2) group (with respec
 t to its closed subgroup T) is isomorphic to the double cover of E(2) grou
 p. The q-deformed C*-algebraic analogue of this example was introduced and
  investigated by Woronowicz during the mid '80s to early '90s. More precis
 ely\, the C*-algebraic deformations of SU(2) and (the double cover of) E(2
 ) with respect to real deformation parameters 0<|q|<1 become compact (deno
 ted by SUq(2)) and non-compact locally compact (denoted by Eq(2)) quantum 
 groups\, respectively. Furthermore\, the contraction of SUq(2) groups beco
 mes (isomorphic) to Eq(2) groups. However\, for complex deformation parame
 ters 0<|q|<1\, the objects SUq(2) and Eq(2) are not ordinary but braided q
 uantum groups. More generally\, the quantum analogue of the normal subgrou
 p of a  semidirect product group becomes a braided quantum group and the r
 econstruction process of the semidirect product quantum group from a braid
 ed quantum group is called bosonisation. In this talk\, we shall present a
  braided version of the contraction procedure between SUq(2) and Eq(2) gro
 ups (for complex deformation parameters 0<|q|<1) and address its compatibi
 lity with bosonisation. This is based on a joint work with Atibur Rahaman.
 \n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jyotishman Bhowmick (ISI Kolkata)
DTSTART:20200923T113000Z
DTEND:20200923T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /5/">Metric-compatible connections in noncommutative geometry</a>\nby Jyot
 ishman Bhowmick (ISI Kolkata) as part of Webinars on Operator Theory and O
 perator Algebras\n\n\nAbstract\nLevi-Civita's theorem in Riemannian geomet
 ry states that if $(M\, g)$ is a Riemannian manifold\, then there exists a
  unique connection on $M$ which is torsionless and compatible with $g$. Th
 e curvature of the manifold is then computed from this particular connecti
 on. \n\nWe will try to explain the notions to state and prove Levi-Civita'
 s theorem in the context of a noncommutative differential calculus.  In pa
 rticular\, we will describe two notions of metric-compatibility of a conne
 ction. The talk will be based on joint works with D. Goswami\, S. Joardar\
 , G. Landi and S. Mukhopadhyay.\n\nThe geometric notions appearing in the 
 lecture will be defined and explained in the beginning.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tirthankar Bhattacharyya (IISc Bangalore)
DTSTART:20200930T113000Z
DTEND:20200930T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /6/">On the geometry of the symmetrized bidisc</a>\nby Tirthankar Bhattach
 aryya (IISc Bangalore) as part of Webinars on Operator Theory and Operator
  Algebras\n\n\nAbstract\nWe study the action of the automorphism group of 
 the $2$ complex dimensional manifold symmetrized bidisc $\\mathbb G$ on it
 self. The automorphism group is $3$ real dimensional. It foliates $\\mathb
 b G$ into leaves all of which are $3$ real dimensional hypersurfaces excep
 t one\, viz.\, the royal variety. This leads us to investigate Isaev's cla
 ssification of all Kobayashi-hyperbolic $2$ complex dimensional  manifolds
  for which the group of holomorphic automorphisms has real dimension $3$ s
 tudied by Isaev. Indeed\, we produce a biholomorphism between the symmetri
 zed bidisc and the domain\n\n	\\[\\{(z_1\,z_2)\\in \\mathbb{C} ^2 : 1+|z_1
 |^2-|z_2|^2>|1+ z_1 ^2 -z_2 ^2|\, Im(z_1 (1+\\overline{z_2}))>0\\}\\]\n\ni
 n Isaev's list. Isaev calls it $\\mathcal D_1$. The road to the biholomorp
 hism is paved with various geometric insights about $\\mathbb G$.	\n\nSeve
 ral consequences of the biholomorphism follow including two new characteri
 zations of the symmetrized bidisc and several new characterizations of $\\
 mathcal D_1$. Among the results on $\\mathcal D_1$\, of particular interes
 t is the fact that $\\mathcal D_1$ is a ``symmetrization''. When we symmet
 rize (appropriately defined in the context) either $\\Omega_1$ or $\\mathc
 al{D}^{(2)} _1$ (Isaev's notation)\, we get $\\mathcal D_1$.  These two do
 mains $\\Omega_1$ and $\\mathcal{D}^{(2)} _1$ are in Isaev's list and he m
 entioned that these are biholomorphic to $\\mathbb D \\times \\mathbb D$. 
 We produce explicit biholomorphisms between these domains and $\\D \\times
  \\D$.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mizanur Rahaman (BITS Pilani Goa campus)
DTSTART:20201007T113000Z
DTEND:20201007T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/7
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /7/">Bisynchronous Games</a>\nby Mizanur Rahaman (BITS Pilani Goa campus) 
 as part of Webinars on Operator Theory and Operator Algebras\n\n\nAbstract
 \nFor some games played by two cooperating but non-communicating players\,
  the players can use entanglement as a resource to improve their outcomes 
 beyond what is possible classically. Graph colouring game\, graph homomorp
 hism game and graph isomorphism game are a few examples of these games. Ov
 er the last few years\, a remarkable progress has been taken place in the 
 theory of these non-local games. One significant aspect of this developmen
 t is its connection with many challenging problems in operator algebras.\n
 \nIn this talk\, I will review the theory of these games and explain the r
 elevant connection with operator algebras. In particular\, I will introduc
 e a new class of games which is called bisynchronous and will show a close
  connection between bisynchronous games and the theory of quantum groups. 
 Moreover\, when the number of inputs is equal to the number of outputs\, e
 ach bisynchronous correlation gives rise to a completely positive map whic
 h will be shown to be factorable in the sense of Haagerup and Musat. This 
 is a joint work with Vern Paulsen. No background in quantum theory is need
 ed for this talk.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Soumyashant Nayak (ISI Bangalore)
DTSTART:20201014T113000Z
DTEND:20201014T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/8
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /8/">What is a Murray-von Neumann algebra?</a>\nby Soumyashant Nayak (ISI 
 Bangalore) as part of Webinars on Operator Theory and Operator Algebras\n\
 n\nAbstract\nIt was observed by Murray and von Neumann in their seminal pa
 per on rings of operators (1936) that the set of closed\, densely-defined 
 operators affiliated with a finite von Neumann algebra has the structure o
 f a *-algebra. The algebra of affiliated operators naturally appears in ma
 ny contexts\; for instance\, in the setting of group von Neumann algebras 
 in the study of non-compact spaces and infinite group actions. In this tal
 k\, we will give an intrinsic description of Murray-von Neumann algebras a
 voiding reference to a Hilbert space\, thus\, revealing the intrinsic natu
 re of various notions associated with such affiliated operators. In fact\,
  we will view Murray-von Neumann algebras as ordered complex topological *
 -algebras arising from a functorial construction over finite von Neumann a
 lgebras.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:S Sundar (IMSc Chennai)
DTSTART:20201021T113000Z
DTEND:20201021T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/9
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /9/">An asymmetric multiparameter CCR flow</a>\nby S Sundar (IMSc Chennai)
  as part of Webinars on Operator Theory and Operator Algebras\n\n\nAbstrac
 t\nThe theory of E_0-semigroups initiated by R.T. Powers and developed ext
 ensively by Arveson has been an active area of research for well over thir
 ty years. An E_0-semigroup is a 1-parameter semigroup of unital normal *-e
 ndomorphisms of B(H) where H is a Hilbert space.\n\nHowever\, nothing prev
 ents us from considering semigroups of endomorphisms  indexed by more gene
 ral semigroups. This was analysed  in collaboration with Anbu Arjunan\, S.
 P. Murugan and R. Srinivasan. \n\nI will explain a few  similarities betwe
 en the one parameter theory and the multiparameter theory.  Also\, there a
 re significant differences. I will attempt to illustrate one difference by
  explaining that a multiparameter CCR flow need not be symmetric.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Soumalya Joardar (IISER Kolkata)
DTSTART:20201104T113000Z
DTEND:20201104T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/11
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /11/">Quantum symmetry of graph C* -algebras</a>\nby Soumalya Joardar (IIS
 ER Kolkata) as part of Webinars on Operator Theory and Operator Algebras\n
 \n\nAbstract\nGraph C*-algebras are examples of C*-algebras generated by p
 artial isometries. The notion of quantum symmetry of graph C*-algebras wil
 l be discussed. Emphasis will be given on the invariance of KMS states of 
 graph C*-algebras at critical inverse temperature under such quantum symme
 try. The richness of quantum symmetry will be exhibited by a particular co
 nsideration. Also a unitary easy quantum group will be shown to appear as 
 the quantum symmetry of a particular graph C*-algebra. The talk is based o
 n a joint project with Arnab Mandal.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Devarshi Mukherjee (University of Goettingen)
DTSTART:20201111T113000Z
DTEND:20201111T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/12
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /12/">Isoradial embeddings and non-commutative geometry</a>\nby Devarshi M
 ukherjee (University of Goettingen) as part of Webinars on Operator Theory
  and Operator Algebras\n\n\nAbstract\nIn this talk\, we describe a framewo
 rk to study non-commutative geometry as a relative version of differential
  geometry. More precisely\, given a C*-algebra A\, we would like to make s
 ense of a "smooth" subalgebra $A^\\infty \\subseteq A$\, and deduce proper
 ties about A using such a subalgebra.  Such a smooth subalgebra should be 
 analogous to the Frechet algebra $C^\\infty(M) \\subseteq C(M)$ for a smoo
 th manifold M\, in the world of commutative C*-algebras.  We shall review 
 the fundamental properties and applications of such embeddings\, called $\
 \textit{isoradial embeddings}$\, due to Ralf Meyer. If time permits\, I wi
 ll mention an ongoing research program with Meyer\, Corti\\~nas and Cuntz\
 , that uses such embeddings to develop noncommutative geometry over finite
  fields.  \n\nI will not assume that the audience has any background beyon
 d familiar examples of C*-algebras. A lot of the motivation would however 
 be clearer to those familiar with cyclic homology or operator algebraic K-
 theory.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Samya Kumar Ray (Wuhan University)
DTSTART:20201118T113000Z
DTEND:20201118T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/13
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /13/">Maximal ergodic inequalities on non-commutative L_p-spaces</a>\nby S
 amya Kumar Ray (Wuhan University) as part of Webinars on Operator Theory a
 nd Operator Algebras\n\n\nAbstract\nIn an influential paper\, Junge and Xu
  established a non-commutative analogue of Dunford-Schwartz maximal ergodi
 c inequality\, solving a longstanding open problem in ergodic theory. Howe
 ver\, there are very few non-commutative ergodic theorems beyond L_1-L_\\i
 nfty contractions of Junge-Xu. In this talk\, we consider the problem of f
 inding more general non-commutative ergodic theorems than L_1-L_\\infty co
 ntractions. En route we discuss how our work is related to various results
  of Haagerup\, Ruan and Pisier on non-commutative L_p spaces. This is a jo
 int work with Guixiang Hong and Simeng Wang.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Baruch Solel (Technion - Israel Institute of Technology)
DTSTART:20201202T113000Z
DTEND:20201202T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/14
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /14/">Invariant subspaces for certain tuples of operators</a>\nby Baruch S
 olel (Technion - Israel Institute of Technology) as part of Webinars on Op
 erator Theory and Operator Algebras\n\n\nAbstract\nIn this talk we will ge
 neralize results of Sarkar and of  Bhattacharjee-Eschmeier-Keshari-Sarkar 
 concerning invariant subspaces for commuting tuples of operators. These au
 thors prove Beurling-Lax-Halmos type results for commuting tuples $T=(T_1\
 ,\\ldots\,T_d)$ operators that are contractive and pure\; that is $\\Phi_T
 (I)\\leq I$ and $\\Phi_T^n(I)\\searrow 0$ where $$\\Phi_T(a)=\\Sigma_i T_i
 aT_i^*.$$\n\nHere we generalize some of their results to commuting tuples 
 $T$ satisfying similar  conditions but for $$\\Phi_T(a)=\\Sigma_{\\alpha \
 \in \\mathbb{F}^+_d} x_{|\\alpha|}T_{\\alpha}aT_{\\alpha}^*$$ where $\\{x_
 k\\}$ is a sequence of non negative numbers satisfying some natural condit
 ions (where $T_{\\alpha}=T_{\\alpha(1)}\\cdots T_{\\alpha(k)}$ for $k=|\\a
 lpha|$). In fact\, we deal with a more general situation where each $x_k$ 
 is replaced by a $d^k\\times d^k$ matrix.\n\nWe also apply these results t
 o subspaces of certain reproducing kernel correspondences $E_K$ (associate
 d with maps-valued kernels $K$) that are invariant under the multipliers g
 iven by the coordinate functions.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Prahlad Vaidyanathan (IISER Bhopal)
DTSTART:20201209T113000Z
DTEND:20201209T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/15
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /15/">Rokhlin Dimension for Group Actions on C*-algebras</a>\nby Prahlad V
 aidyanathan (IISER Bhopal) as part of Webinars on Operator Theory and Oper
 ator Algebras\n\n\nAbstract\nRokhlin Dimension was introduced by Hirshberg
 \, Winterand Zacharias as a higher rank version of the Rokhlin property. I
 t maybe thought of as a noncommutative analogue of a ‘free’ action of 
 a group on a topological space. We discuss this idea\, and what it means f
 or the corresponding crossed product C*-algebra.\n\nThe talk is meant to b
 e expository\, and accessible to a large audience.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ved Prakash Gupta (JNU)
DTSTART:20201216T113000Z
DTEND:20201216T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/16
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /16/">Lattice of intermediate subalgebras of a pair of simple C*-algebras<
 /a>\nby Ved Prakash Gupta (JNU) as part of Webinars on Operator Theory and
  Operator Algebras\n\n\nAbstract\nThe study of the lattice of intermediate
  objects of a pair $B \\subset A$ in any category is quite a natural and f
 undamental question and has a significant say in obtaining a better unders
 tanding of the structures of the objects A and B. A good deal of work in t
 his direction has been done in the category of finite groups\, both of qua
 litative and quantitave flavour. Its natural analogue in the theory of ope
 rator algebras has had some success\, though mainly quantitative in nature
  and based on some existing tools. Continuing the trend\, in a recent work
  with Keshab Chandra Bakshi\, we developed certain tools in the category o
 f simple C*-algebras (motivated by and analogous to the ones existing in t
 he category of simple von Neumann algebras) to answer a quantitative quest
 ion of Roberto Longo regarding the lattice of intermediate von Neumann sub
 algebras of an inclusion of type III factors. We shall present some essenc
 e of this development with an attempt to make the talk accessible to a lar
 ger audience.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xiang Tang (Washington University in St. Louis\, USA)
DTSTART:20210113T040000Z
DTEND:20210113T053000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/17
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /17/">Analytic Grothendieck Riemann Roch Theorem</a>\nby Xiang Tang (Washi
 ngton University in St. Louis\, USA) as part of Webinars on Operator Theor
 y and Operator Algebras\n\n\nAbstract\nIn this talk\, we will introduce an
  interesting index problem naturally associated to the Arveson-Douglas con
 jecture in functional analysis. This index problem is a generalization of 
 the classical Toeplitz index theorem and connects to many different branch
 es of Mathematics. In particular\, it can be viewed as an analytic version
  of the Grothendieck Riemann Roch theorem. This is joint work with R. Doug
 las\, M. Jabbari\, and G. Yu.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sugato Mukhopadhyay (ISI Kolkata)
DTSTART:20210120T113000Z
DTEND:20210120T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/18
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /18/">Levi-Civita connections on bicovariant differential calculus</a>\nby
  Sugato Mukhopadhyay (ISI Kolkata) as part of Webinars on Operator Theory 
 and Operator Algebras\n\n\nAbstract\nIn this talk\, we will propose a defi
 nition of Levi-Civita connections on bicovariant differential calculi of H
 opf algebras\, which satisfy a technical property. Given a bi-invariant me
 tric on such a calculus\, we will present a sufficient condition for the e
 xistence of a unique bicovariant Levi-Civita connection on the calculus. W
 e will discuss examples of Hopf algebras that fit into this framework. Thi
 s talk is based on a joint work with Jyotishman Bhowmick.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Apoorva Khare (IISc Bangalore)
DTSTART:20210303T113000Z
DTEND:20210303T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/19
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /19/">Total positivity: history\, basics\, and modern connections</a>\nby 
 Apoorva Khare (IISc Bangalore) as part of Webinars on Operator Theory and 
 Operator Algebras\n\n\nAbstract\nI will give a gentle introduction to tota
 lly positive matrices and Polya frequency functions. This includes basic e
 xamples\, history\, and fundamental results on total positivity\, variatio
 n diminution\, and sign non-reversal – as well as a few proofs to show h
 ow the main ingredients fit together. Many classical results (and one Hypo
 thesis) from before 1955 feature in this journey. I will end by describing
  how Polya frequency functions connect to the Laguerre–Polya class and h
 ence Polya–Schur multipliers\, and mention 21st century incarnations of 
 the latter.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:CR Jayanarayanan (IIT Palakkad)
DTSTART:20210310T113000Z
DTEND:20210310T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/20
DESCRIPTION:by CR Jayanarayanan (IIT Palakkad) as part of Webinars on Oper
 ator Theory and Operator Algebras\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anshu Nirbhay (IISER Bhopal)
DTSTART:20210317T113000Z
DTEND:20210317T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/21
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /21/">Some Dimension Theories of C*-algebras and Rokhlin-type Properties</
 a>\nby Anshu Nirbhay (IISER Bhopal) as part of Webinars on Operator Theory
  and Operator Algebras\n\n\nAbstract\nThere are many ranks associated with
  a $C^*$-algebra. Rieffel defined the notion of stable ranks in the 1980s.
  We will mainly focus on two of these ranks namely connected stable rank a
 nd general stable rank. If we are given a group $G$\, which acts on a $C^*
 $-algebra $A$ via a map $\\alpha$\, the triple $(A\, G\, \\alpha)$ is said
  to be a $C^*$-dynamical system\, then we can associate a $C^*$-algebra ca
 lled a crossed product $C^*$-algebra denoted by $A \\rtimes_{\\alpha}G$. W
 e will discuss the homotopical stable ranks of a crossed product $C^*$-alg
 ebra by a finite group where the action involved has Rokhlin-type property
 .\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Keshab Chandra Bakshi (Chennai Mathematical Institute)
DTSTART:20210324T113000Z
DTEND:20210324T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/22
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /22/">On a question of Vaughan Jones</a>\nby Keshab Chandra Bakshi (Chenna
 i Mathematical Institute) as part of Webinars on Operator Theory and Opera
 tor Algebras\n\n\nAbstract\nGiven a subgroup H of a finite group G\, as an
  application of famous Hall's Marriage Theorem\, we can obtain a set of co
 set representatives which acts simultaneously as representatives of  both 
 left and right cosets of H in G. Given a subfactor $N\\subset M$ with fini
 te Jones index\, M can be regarded as a left as well as a right N-module. 
 Pimsner and Popa proved that M is finitely generated as a left (equivalent
 ly\, right) N-module. About a decade back\, Vaughan Jones asked whether on
 e can find a common set which acts simultaneously as a left and a right ge
 nerating set. As a naive attempt in this direction\, we answer this questi
 on in the affirmative for a large class of integer index subfactors. We al
 so discuss some  applications of our results.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Apurva Seth (IISER Bhopal)
DTSTART:20210331T113000Z
DTEND:20210331T130000Z
DTSTAMP:20260404T111138Z
UID:WOTOA/23
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/WOTOA
 /23/">AF- algebras and Rational Homotopy Theory</a>\nby Apurva Seth (IISER
  Bhopal) as part of Webinars on Operator Theory and Operator Algebras\n\n\
 nAbstract\nIn this talk\, we will give a procedure to compute the rational
  homotopy group of the group of quasi-unitaries of an AF-algebra. As an ap
 plication\, we show that an AF-algebra is K-stable if and only if it is ra
 tionally K-stable.\n
LOCATION:https://stable.researchseminars.org/talk/WOTOA/23/
END:VEVENT
END:VCALENDAR
