On the relative commutants of subfactors

Khoshkam, M.; Mashood, B.

doi:10.1090/S0002-9939-98-04345-7

On the relative commutants of subfactors
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by M. Khoshkam and B. Mashood PDF

Proc. Amer. Math. Soc. 126 (1998), 2725-2732 Request permission

Abstract:

Let $A\subset B$ be factors generated by a periodic tower $A_{n}\subset B_{n}$ of finite dimensional $C^{*}$-algebras. We prove that for sufficiently large $n$, $A^{\prime }\cap B$ is $*$-isomorphic to a subalgebra of $A^{\prime }_{n}\cap B_{n}$.

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