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

## Representation theory, cohomology and L^2-Betti numbers for subfactorsAdd to your list(s) Download to your calendar using vCal - Stefaan Vaes (KU Leuven)
- Friday 20 January 2017, 10:30-12:00
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. 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:- All CMS events
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