English

A Rokhlin type theorem for simple C*-algebras of finite nuclear dimension

Operator Algebras 2016-08-04 v2

Abstract

We study Z-actions on unital simple separable stably finite C*-algebras of finite nuclear dimension. Assuming that the extreme boundary of the trace space is compact and finite dimensional, and that the induced action on the trace space is trivial, we show that strongly outer Z-actions have finite Rokhlin dimension in the sense of Hirshberg, Winter and Zacharias.

Keywords

Cite

@article{arxiv.1506.01448,
  title  = {A Rokhlin type theorem for simple C*-algebras of finite nuclear dimension},
  author = {Hung-Chang Liao},
  journal= {arXiv preprint arXiv:1506.01448},
  year   = {2016}
}

Comments

31 pages; minor corrections