Classification of actions of discrete Kac algebras on injective factors

Toshihiko Masuda; Reiji Tomatsu

doi:10.1090/memo/1160

Classification of actions of discrete Kac algebras on injective factors

Toshihiko Masuda, Reiji Tomatsu

研究成果: Review article › 査読

5 被引用数 (Scopus)

抄録

We will study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. We will construct a new invariant which generalizes a characteristic invariant for a discrete group action, and we will present a complete classification. The second is a centrally free action. By constructing a Rohlin tower in an asymptotic centralizer, we will show that the Connes-Takesaki module is a complete invariant.

本文言語	English
ページ（範囲）	1-134
ページ数	134
ジャーナル	Memoirs of the American Mathematical Society
巻	245
号	1160
DOI	https://doi.org/10.1090/memo/1160
出版ステータス	Published - 2017 1
外部発表	はい

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

文献へのアクセス

10.1090/memo/1160

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引用スタイル

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