Representation theory, cohomology and L^2-Betti numbers for subfactors
1 hour 1 min,
888.55 MB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
1.94 Mbits/sec
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About this item
| Description: |
Vaes, S (KU Leuven)
Wednesday 18th January 2017 - 10:30 to 12:00 |
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| Created: | 2017-02-01 16:56 |
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| Collection: | Operator algebras: subfactors and their applications |
| Publisher: | Isaac Newton Institute |
| Copyright: | Vaes, S |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | 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 L2L2-Betti numbers. I will present several examples and also discuss a number of open problems on the realization of standard invariants through hyperfinite subfactors. |
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