Commuting squares and relative entropy for two subfactors

Yasuo Watatani, Jerzy Wierzbicki

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We compute Connes-Störmer relative entropy H(M/N) for two subfactors M and N of a type II1 factor without assuming N ⊂ M. If they form a commuting square, then we have H(M/N) = H(M/M ∩ N). If their commutants form a commuting square, then we have H(M/N) = H(M ∨ N/N).

Original languageEnglish
Pages (from-to)329-341
Number of pages13
JournalJournal of Functional Analysis
Volume133
Issue number2
DOIs
Publication statusPublished - Nov 1 1995

All Science Journal Classification (ASJC) codes

  • Analysis

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