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Rohlin Flows on Amalgamated Free Product Factors

Operator Algebras 2014-05-21 v2

Abstract

We construct flows on an amalgamated free product factor and characterize the Rohlin property for them by freeness of R×Z\mathbf{R}\times \mathbf{Z} actions on a measured space. As a corolally, it turns out that there exist Rohlin flows on an amalgamated free product factor. This shows that the classification theorem of Masuda and Tomatsu for the Rohlin flows is also applicable to flows on non-McDuff factors.

Keywords

Cite

@article{arxiv.1212.3049,
  title  = {Rohlin Flows on Amalgamated Free Product Factors},
  author = {Koichi Shimada},
  journal= {arXiv preprint arXiv:1212.3049},
  year   = {2014}
}

Comments

10 pages, to appear in Internat. Math. Res. Notices