University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Representation theory, cohomology and L^2-Betti numbers for subfactors

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Representation theory, cohomology and L^2-Betti numbers for subfactors

Download to your calendar using vCal

If you have a question about this talk, please contact INI IT .

OASW04 - Primer on subfactors and applications

The standard invariant of a subfactor can be viewed in different ways as a ``discrete group like'' mathematical structure – a lambda-lattice in the sense of Popa, a Jones planar algebra, or a C*-tensor category of bimodules. This discrete group point of view will be the guiding theme of the mini course. After an introduction to different approaches to the standard invariant, I will present joint work with Popa and Shlyakhtenko on the unitary representation theory of these structures, on approximation and rigidity properties like amenability, the Haagerup property or property (T), on (co)homology and $L^2$-Betti numbers. I will present several examples and also discuss a number of open problems on the realization of standard invariants through hyperfinite subfactors.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Queen's Lecture Theatre, Emmanuel College Commission based business in india TECRO

Other talks

Semiconductor-based neutron detector development at QMUL The uplift and erosion history of the Gamburtsev Subglacial Mountains and their role in the formation of the East Antarctic Ice Sheet A Novel Diffusion Model based Approach for Sleep Music Generation Title TBC Title to be confirmed The role of radiation in cancer care: a spotlight on cancers of the oesophagus, head and neck
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity