Classification of actions of discrete amenable groups on strongly amenable subfactors of type III_{𝜆}

Masuda, Toshihiko

doi:10.1090/S0002-9939-99-04752-8

Classification of actions of discrete amenable groups on strongly amenable subfactors of type III$_\lambda$
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Proc. Amer. Math. Soc. 127 (1999), 2053-2057 Request permission

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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