English

Relative ergodic properties of C*-dynamical systems

Operator Algebras 2015-03-30 v2

Abstract

We study various ergodic properties of C*-dynamical systems inspired by unique ergodicity. In particular we work in a framework allowing for ergodic properties defined relative to various subspaces, and in terms of weighted means. Our main results are characterizations of such relative ergodic properties, ergodic theorems resulting from these properties, and examples exhibiting these properties.

Keywords

Cite

@article{arxiv.1209.4792,
  title  = {Relative ergodic properties of C*-dynamical systems},
  author = {Rocco Duvenhage and Farrukh Mukhamedov},
  journal= {arXiv preprint arXiv:1209.4792},
  year   = {2015}
}

Comments

v1: 21 pages. v2: published version, 23 pages

R2 v1 2026-06-21T22:08:59.990Z