Property (T) and actions on infinite measure spaces
Group Theory
2020-04-15 v3
Abstract
The aim of the article is to provide a characterization of Kazhdan's property (T) for locally compact, second countable pairs of groups in terms of actions on infinite, -finite measure spaces. It is inspired by the recent characterization of the Haagerup property by similar actions due to T. Delabie, A. Zumbrunnen and the author.
Keywords
Cite
@article{arxiv.2004.03218,
title = {Property (T) and actions on infinite measure spaces},
author = {Paul Jolissaint},
journal= {arXiv preprint arXiv:2004.03218},
year = {2020}
}
Comments
10 pages; the case of pairs of groups with Property (T) is considered. Some detailed description of the construction of measure spaces are added