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Mathematics  1997 

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

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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.

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