Abstract
Using the continuous decomposition, we classify strongly free actions of discrete amenable groups on strongly amenable subfactors of type III λ _\lambda , 0 > λ > 1 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.
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