Amenability and ergodic properties of topological groups: from Bogolyubov onwards
Group Theory
2015-07-24 v2
Abstract
The purpose of this expository article is to revisit the notions of amenability and ergodicity, and to point out that they appear for topological groups that are not necessarily locally compact in articles by Bogolyubov (1939), Fomin (1950), Dixmier (1950), and Rickert (1967).
Cite
@article{arxiv.1404.7030,
title = {Amenability and ergodic properties of topological groups: from Bogolyubov onwards},
author = {Rostislav Grigorchuk and Pierre de la Harpe},
journal= {arXiv preprint arXiv:1404.7030},
year = {2015}
}
Comments
Terminology has been changed for reasons explained in Remark 3.15. Otherwise, minor corrections have been made