A new characterization of the Haagerup property
Group Theory
2020-04-21 v5
Abstract
The aim of the article is to provide a characterization of the Haagerup property for locally compact, second countable groups in terms of actions on -finite measure spaces. It is inspired by the very first definition of amenability, namely the existence of an invariant mean on the algebra of essentially bounded, measurable functions on the group.
Cite
@article{arxiv.1904.05668,
title = {A new characterization of the Haagerup property},
author = {Thiebout Delabie and Paul Jolissaint and Alexandre Zumbrunnen},
journal= {arXiv preprint arXiv:1904.05668},
year = {2020}
}
Comments
19 pages, no figures; final version accepted for publication in Ergodic Theory & Dynamical Systems