Proceedings of the American Mathematical Society

Classification of actions of discrete amenable groups on strongly amenable subfactors of type III $_\lambda$

Author(s): Toshihiko Masuda
Journal: Proc. Amer. Math. Soc. 127 (1999), 2053-2057.
MSC (1991): Primary 46L37
Posted: February 17, 1999
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Abstract: Using the continuous decomposition, we classify strongly free actions of discrete amenable groups on strongly amenable subfactors of type III $_\lambda$ , $0<\lambda<1$ . Winsløw's fundamental homomorphism is a complete invariant. This removes the extra assumptions in the classification theorems of Loi and Winsløw and gives a complete classification up to cocycle conjugacy.

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