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

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.

arXiv commentLaTeX, 5 pages