More Homological Approach to Composition of Subfactors

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J. Math. Sci. Univ. Tokyo
Vol. 10 (2003), No. 4, Page 599--630.

Masuoka, Akira
More Homological Approach to Composition of Subfactors
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Abstract:
By using homological tools in \cite{M4}, we refine in a slightly generalized form the result by Izumi and Kosaki \cite{IK} which classifies outer actions of a matched pair of finite groups on the hyperfinite $II_{1}$ factor. An analogous result on outer weak actions is proved. We naturally connect outer (weak) actions with Galois extensions for Hopf (or Kac) algebras or coquasi-Hopf algebras.

Mathematics Subject Classification (2000): Primary 46W37; Secondary 16W30

Mathematical Reviews Number: MR2037761

Received: 2003-03-26

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