7 citations · 7 across the 2 of their papers we have counts for
3 papers
math.OA2011★ 7 cited
Tensor C*-categories arising as bimodule categories of II_1 factors
Sébastien Falguières, Sven Raum
We prove that if C is a tensor C*-category in a certain class, then there exists an uncountable family of pairwise non stably isomorphic II_1 factors (M_i) such that the bimodule c…
math.OA2008
The representation category of any compact group is the bimodule category of a II_1 factor
Sébastien Falguières, Stefaan Vaes
We prove that given any compact group G, there exists a minimal action of G on a II_1 factor M such that the bimodule category of the fixed-point II_1 factor M^G is naturally equiv…
math.OA2007
Every compact group arises as the outer automorphism group of a II_1 factor
Sébastien Falguières, Stefaan Vaes
We show that any compact group can be realized as the outer automorphism group of a factor of type II_1. This has been proved in the abelian case by Ioana, Peterson and Popa applyi…