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

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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