English

A few remarks on mixing properties of $C^*$-dynamical systems

Operator Algebras 2007-12-24 v1 Functional Analysis

Abstract

We consider strictly ergodic and strictly weak mixing CC^*-dynamical systems. We prove that the system is strictly weak mixing if and only if its tensor product is strictly ergodic, moreover strictly weak mixing too. We also investigate some other mixing properties of the system.

Keywords

Cite

@article{arxiv.math/0510337,
  title  = {A few remarks on mixing properties of $C^*$-dynamical systems},
  author = {Farrukh Mukhamedov and Seyit Temir},
  journal= {arXiv preprint arXiv:math/0510337},
  year   = {2007}
}

Comments

12 pages. Accepted for publication in Rocky Mount. J. Math

R2 v1 2026-07-22T17:25:59.313Z