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Classification of actions of discrete amenable groups on strongly amenable subfactors of type III$λ$

Toshihiko Masuda
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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$_λ, 0 < λ< 1$. 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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BibTeXRIS

Toshihiko Masuda. 1997-03-12. Classification of actions of discrete amenable groups on strongly amenable subfactors of type III$λ$. https://arxiv.org/abs/funct-an/9703004

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