The representation category of any compact group is the bimodule category of a II_1 factor
Operator Algebras
2010-07-05 v4
Abstract
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 equivalent with the representation category of G. In particular, all subfactors of M^G with finite Jones index can be described explicitly.
Keywords
Cite
@article{arxiv.0811.1764,
title = {The representation category of any compact group is the bimodule category of a II_1 factor},
author = {Sébastien Falguières and Stefaan Vaes},
journal= {arXiv preprint arXiv:0811.1764},
year = {2010}
}
Comments
v4:Improved and more detailed exposition. No conceptual changes. Final version. v3:Correction to a technical assumption; clarification of corresponding proof. v2:Update and correction of references