An analogue of Connes-Haagerup approach for classification of subfactors of type III1

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    Abstract

    Popa proved that strongly amenable subfactors of type III1 with the same type II and type III principal graphs are completely classified by their standard invariants. In this paper, we present a different proof of this classification theorem based on Connes and Haagerup's arguments on the uniqueness of the injective factor of type III1.

    Original languageEnglish
    Pages (from-to)959-1001
    Number of pages43
    JournalJournal of the Mathematical Society of Japan
    Volume57
    Issue number4
    DOIs
    Publication statusPublished - Oct 2005

    All Science Journal Classification (ASJC) codes

    • General Mathematics

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