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

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

1997-03-12

arxiv.org/abs/funct-an/9703004v1

Mathematics

Operator Algebras

LaTeX, 5 pages

Scientific paper

Using the continuous decomposition, we classify strongly free actions of
discrete amenable groups on strongly amenable subfactors of type III$_\lambda,
0 < \lambda < 1$. Winsl{\o}w's fundamental homomorphism is a complete
invariant. This removes the extra assumptions in the classification theorems of
Loi and Winsl{\o}w and gives a complete classification up to cocycle conjugacy.

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