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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152438Using 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 pagesFunctional AnalysisOperator AlgebrasClassification of actions of discrete amenable groups on strongly amenable subfactors of type III$λ$text