Rohlin flows on von Neumann algebras

Toshihiko Masuda, Reiji Tomatsu

Research output: Contribution to journalArticle

2 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 languageEnglish
Pages (from-to)1-128
Number of pages128
JournalMemoirs of the American Mathematical Society
Volume244
Issue number1153
DOIs
Publication statusPublished - Nov 2016

Fingerprint

Von Neumann Algebra
Algebra
Injective
Conjugacy
Cocycle
Classify
Alternatives

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Rohlin flows on von Neumann algebras. / Masuda, Toshihiko; Tomatsu, Reiji.

In: Memoirs of the American Mathematical Society, Vol. 244, No. 1153, 11.2016, p. 1-128.

Research output: Contribution to journalArticle

Masuda, Toshihiko ; Tomatsu, Reiji. / Rohlin flows on von Neumann algebras. In: Memoirs of the American Mathematical Society. 2016 ; Vol. 244, No. 1153. pp. 1-128.
@article{455a9d002d174c01bc4a9115f4430751,
title = "Rohlin flows on von Neumann algebras",
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.",
author = "Toshihiko Masuda and Reiji Tomatsu",
year = "2016",
month = "11",
doi = "10.1090/memo/1153",
language = "English",
volume = "244",
pages = "1--128",
journal = "Memoirs of the American Mathematical Society",
issn = "0065-9266",
publisher = "American Mathematical Society",
number = "1153",

}

TY - JOUR

T1 - Rohlin flows on von Neumann algebras

AU - Masuda, Toshihiko

AU - Tomatsu, Reiji

PY - 2016/11

Y1 - 2016/11

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84989845989&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84989845989&partnerID=8YFLogxK

U2 - 10.1090/memo/1153

DO - 10.1090/memo/1153

M3 - Article

AN - SCOPUS:84989845989

VL - 244

SP - 1

EP - 128

JO - Memoirs of the American Mathematical Society

JF - Memoirs of the American Mathematical Society

SN - 0065-9266

IS - 1153

ER -