$II_1$-Subfactors associated with the $C^*$-Tensor Category of a Finite Group

R. Schaflitzel

$II_1$-Subfactors associated with the $C^*$-Tensor Category of a Finite Group

funct-an 2008-02-03 v1 Operator Algebras

Authors: R. Schaflitzel

Abstract

We determine the subfactors $N\subset R$ of the hyperfinite $II_1$ -factor R with finite index for which the $C^*$ -tensor category of the associated $(N,N)$ -bimodules is equivalent to the $C^*$ -tensor category $\C{U}_G$ of all unitary finite dimensional representations of a given finite group G.

Keywords

$II_1$-subfactors $C^*$-tensor category finite group unitary representations hyperfinite factor

Cite

@article{arxiv.funct-an/9701008,
  title  = {$II_1$-Subfactors associated with the $C^*$-Tensor Category of a Finite Group},
  author = {R. Schaflitzel},
  journal= {arXiv preprint arXiv:funct-an/9701008},
  year   = {2008}
}

Comments

15 Pages, latex, no figures

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