Classification of minimal actions of a compact kac algebra with amenable dual

Toshihiko Masuda; Reiji Tomatsu

doi:10.1007/s00220-007-0269-4

Classification of minimal actions of a compact kac algebra with amenable dual

Toshihiko Masuda^*, Reiji Tomatsu

^*この研究の対応する著者

研究成果: Article › 査読

13 被引用数 (Scopus)

抄録

We show the uniqueness of minimal actions of a compact Kac algebra with amenable dual on the AFD factor of type II₁. This particularly implies the uniqueness of minimal actions of a compact group. Our main tools are a Rohlin type theorem, the 2-cohomology vanishing theorem, and the Evans-Kishimoto type intertwining argument.

本文言語	English
ページ（範囲）	487-551
ページ数	65
ジャーナル	Communications in Mathematical Physics
巻	274
号	2
DOI	https://doi.org/10.1007/s00220-007-0269-4
出版ステータス	Published - 2007 9月
外部発表	はい

ASJC Scopus subject areas

統計物理学および非線形物理学
数理物理学

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10.1007/s00220-007-0269-4

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Classification of minimal actions of a compact kac algebra with amenable dual

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