ScholarLens Back to search
2016•Memoirs of the American Mathematical SocietyRequires access

Rohlin flows on von Neumann algebras

Toshihiko Masuda, Reiji Tomatsu

Open publisher page 17 citations

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 II 1 _1 factor, the classification of injective type III factors due to Connes, Krieger and Haagerup and the non-fullness of type III 0 _0 factors. Several concrete examples are also studied.

About this research paper

What this paper is about

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 II 1 _1 factor, the classification of injective type III factors due to Connes, Krieger and Haagerup and the non-fullness of type III 0 _0 factors. Several concrete examples are also studied.

Why it matters

OpenAlex reports 17 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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 II 1 _1 factor, the classification of injective type III factors due to Connes, Krieger and Haagerup and the non-fullness of type III 0 _0 factors. Several concrete examples are also studied.

Key concepts: Injective function, Von Neumann architecture, Mathematics, Property (philosophy), Type (biology), Pure mathematics, Conjugacy class, Von Neumann algebra

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Rohlin flows on von Neumann algebras — Research Paper | ScholarLens