$I{I}_1$-Subfactors associated with the $C^{\ast }$-Tensor Category of a Finite Group

Abstract

We determine the subfactors $N\subset R$ of the hyperfinite $I{I}_1$-factor R with finite index for which the $C^{\ast }$-tensor category of the associated $(N,N)$-bimodules is equivalent to the $C^{\ast }$-tensor category $\C{U}_G$ of all unitary finite dimensional representations of a given finite group G.

arXiv comment15 Pages, latex, no figures