English

Rohlin flows on von Neumann algebras

Operator Algebras 2012-09-26 v2

Abstract

We will introduce the Rohlin property for flows on von Neumann algebras and classify them 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_1 factor, the classification of injective type III factors due to Connes, Krieger and Haagerup and the non-fullness of type III0_0 factors. Several concrete examples are also studied.

Keywords

Cite

@article{arxiv.1206.0955,
  title  = {Rohlin flows on von Neumann algebras},
  author = {Toshihiko Masuda and Reiji Tomatsu},
  journal= {arXiv preprint arXiv:1206.0955},
  year   = {2012}
}

Comments

110 pages, Section 7 is rewritten

R2 v1 2026-06-21T21:14:32.203Z