Rohlin flows on von Neumann algebras

Toshihiko Masuda; Reiji Tomatsu

doi:10.1090/memo/1153

Rohlin flows on von Neumann algebras

Toshihiko Masuda, Reiji Tomatsu

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

6 Citations (Scopus)

Abstract

We will classify Rohlin flows on von Neumann algebras up to strong cocycle conjugacy. This result provides alternative approaches to some preceding results such as Kawahigashi's classification of flows on the injective type II₁ factor, the classification of injective type III factors due to Connes, Krieger and Haagerup and the non fullness of type III₀ factors. Several concrete examples are also studied.

Original language	English
Pages (from-to)	1-128
Number of pages	128
Journal	Memoirs of the American Mathematical Society
Volume	244
Issue number	1153
DOIs	https://doi.org/10.1090/memo/1153
Publication status	Published - 2016 Nov
Externally published	Yes

Keywords

Flow
Rohlin property
Von Neumann algebra

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/memo/1153

Cite this

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abstract = "We will classify Rohlin flows on von Neumann algebras up to strong cocycle conjugacy. This result provides alternative approaches to some preceding results such as Kawahigashi's classification of flows on the injective type II1 factor, the classification of injective type III factors due to Connes, Krieger and Haagerup and the non fullness of type III0 factors. Several concrete examples are also studied.",

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AB - We will classify Rohlin flows on von Neumann algebras up to strong cocycle conjugacy. This result provides alternative approaches to some preceding results such as Kawahigashi's classification of flows on the injective type II1 factor, the classification of injective type III factors due to Connes, Krieger and Haagerup and the non fullness of type III0 factors. Several concrete examples are also studied.

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KW - Rohlin property

KW - Von Neumann algebra

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Rohlin flows on von Neumann algebras

Abstract

Keywords

ASJC Scopus subject areas

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