English

On characterizations of amenable C*-dynamical systems and new examples

Operator Algebras 2021-09-22 v2 Dynamical Systems Group Theory

Abstract

We show the equivalence of several amenability type conditions for C*-dynamical systems. As an application, based on the Pimsner--Meyer construction, we give a new method to produce amenable actions on simple C*-algebras.

Keywords

Cite

@article{arxiv.2011.03420,
  title  = {On characterizations of amenable C*-dynamical systems and new examples},
  author = {Narutaka Ozawa and Yuhei Suzuki},
  journal= {arXiv preprint arXiv:2011.03420},
  year   = {2021}
}

Comments

26 pages, minor revision, to appear in Selecta Mathematica

R2 v1 2026-06-23T19:57:55.291Z