Conjugate Pairs of Subfactors and Entropy for Automorphisms

الأصل · EN

Based on the fact that, for a subfactor N of a II₁ factor M, the first non-trivial Jones index is 2 and then M is decomposed as the crossed product of N by an outer action of Z₂, we study pairs {N, uNu* } from a view point of entropy for two subalgebras of M with a connection to the entropy for automorphisms, where the inclusion of II₁ factors N ⊂ M is given as M is the crossed product of N by a finite group of outer automorphisms and u is a unitary in M.