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

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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.
LaTeX, 5 pages

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Functional Analysis, Operator Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/152438

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/funct-an/9703004
 http://arxiv.org/abs/funct-an/9703004

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arXiv