On the adjoint representation of orthogonal free quantum groups

Roland Vergnioux (University of Caen)

Tuesday 12th November, 2013 16:00-17:00 Maths 416

Abstract

The free orthogonal quantum groups have been introduced by 
Wang as "liberations" of the usual orthogonal groups. From the 
probabilistic and analytical point of view, their discrete duals are 
matricial analogues of the usual free groups. I will review some of 
their operator-algebraic properties and present a new result about the 
adjoint representation of orthogonal free quantum groups, with 
application to strong solidity. This is joint work with Pierre Fima.

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