Property (T) and actions on infinite measure spaces

Abstract

The aim of the article is to provide a characterization of Kazhdan's property (T) for locally compact, second countable pairs of groups $H\subset G$ in terms of actions on infinite, $\sigma$-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.

10 pages; the case of pairs of groups with Property (T) is considered. Some detailed description of the construction of measure spaces are added

References in corpus (1)

• A new characterization of the Haagerup property