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

^*Corresponding author for this work

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 - 2010 Mar 15
Externally published	Yes

Keywords

Compact Kac algebra
Factor of type III
Minimal action
Operator algebra

ASJC Scopus subject areas

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.",

keywords = "Compact Kac algebra, Factor of type III, Minimal action, Operator algebra",

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 - Masuda, Toshihiko

AU - Tomatsu, Reiji

N1 - 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.

PY - 2010/3/15

Y1 - 2010/3/15

N2 - 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.

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.

KW - Compact Kac algebra

KW - Factor of type III

KW - Minimal action

KW - Operator algebra

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JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 6

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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