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CONJUGATE PAIRS OF SUBFACTORS AND ENTROPY FOR AUTOMORPHISMS

MARIE CHODA

Osaka Kyoiku University, Asahigaoka, Kashiwara 582-8582, Japan

https://doi.org/10.1142/S0129167X1100691XCited by:3 (Source: Crossref)

Abstract

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

Keywords:

AMSC: 46L55, 46L37, 46L40

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