On Automorphisms of Subfactors

We classify, up to outer conjugacy, free actions ofZon an inclusion of hyperfinite type II1factors of finite index, of finite depth, and for which the principal graph is one of the following:An,n⩾2,E6,E8, or a finite group. As a consequence, we obtain the classification of hyperfinite type IIIλsubfactors of the same index of the Powers factorRλ, for 0<λ<1, such that the principal graph of the corresponding type II1inclusion is of one of the types mentioned above.