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

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

1997-01-22

arxiv.org/abs/funct-an/9701008v1

Mathematics

Operator Algebras

15 Pages, latex, no figures

Scientific paper

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.

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