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SUMMARY:Representation theory\, cohomology and L^2-Betti numbers for subfa
 ctors - Stefaan Vaes (KU Leuven)
DTSTART:20170118T103000Z
DTEND:20170118T120000Z
UID:TALK69995@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The standard invariant of a subfactor can be viewed in  differ
 ent ways as a ``discrete group like&#39\;&#39\; 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 t
 he guiding theme of the mini course. After an introduction to  different a
 pproaches to the standard invariant\, I will present joint  work with Popa
  and Shlyakhtenko on the unitary representation theory of  these structure
 s\, on approximation and rigidity properties like  amenability\, the Haage
 rup 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
 .
LOCATION:Seminar Room 2\, Newton Institute
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