Using the continuous decomposition, we classify strongly free actions of discrete amenable groups on strongly amenable subfactors of type IIIλ, 0 < λ < 1. Winslow's fundamental homomorphism is a complete invariant. This removes the extra assumptions in the classification theorems of Loi and Winslow and gives a complete classification up to cocycle conjugacy.
All Science Journal Classification (ASJC) codes
- Applied Mathematics