Commuting squares and relative entropy for two subfactors

Yasuo Watatani, Jerzy Wierzbicki

    Research output: Contribution to journalArticlepeer-review

    8 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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