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

Department of Mathematical Sciences

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

5 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 - Nov 2016

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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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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Rohlin flows on von Neumann algebras

Abstract

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