I I 1 -Subfactors associated with the C ∗ -Tensor Category of a Finite Group
Abstract
We determine the subfactors
N⊂R
of the hyperfinite
I
I
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.