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

Toshihiko Masuda

doi:10.2969/jmsj/1150287301

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

Toshihiko Masuda

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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 language	English
Pages (from-to)	959-1001
Number of pages	43
Journal	Journal of the Mathematical Society of Japan
Volume	57
Issue number	4
DOIs	https://doi.org/10.2969/jmsj/1150287301
Publication status	Published - Oct 2005

All Science Journal Classification (ASJC) codes

Mathematics(all)

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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.",

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AB - 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.

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

Abstract

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