Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III

Toshihiko Masuda; Reiji Tomatsu

doi:10.1016/j.jfa.2009.11.014

Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III

Toshihiko Masuda, Reiji Tomatsu

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

11 Citations (Scopus)

Abstract

We classify a certain class of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III. The structural analysis of type III factors and the canonical extension of endomorphisms introduced by Izumi are our main technical tools.

Original language	English
Pages (from-to)	1965-2025
Number of pages	61
Journal	Journal of Functional Analysis
Volume	258
Issue number	6
DOIs	https://doi.org/10.1016/j.jfa.2009.11.014
Publication status	Published - Mar 15 2010

All Science Journal Classification (ASJC) codes

Analysis

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10.1016/j.jfa.2009.11.014

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title = "Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III",

abstract = "We classify a certain class of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III. The structural analysis of type III factors and the canonical extension of endomorphisms introduced by Izumi are our main technical tools.",

author = "Toshihiko Masuda and Reiji Tomatsu",

note = "Funding Information: * Corresponding author. E-mail addresses: masuda@math.kyushu-u.ac.jp (T. Masuda), tomatsu_reiji@ma.noda.tus.ac.jp (R. Tomatsu). 1 Supported by JSPS.",

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AU - Tomatsu, Reiji

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PY - 2010/3/15

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AB - We classify a certain class of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III. The structural analysis of type III factors and the canonical extension of endomorphisms introduced by Izumi are our main technical tools.

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JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

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Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III

Abstract

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