Journal article

### Kazhdan and Haagerup properties from the median viewpoint

Abstract:
We prove the existence of a close connection between spaces with measured walls and median metric spaces. We then relate properties (T) and Haagerup (a-T-menability) to actions on median spaces and on spaces with measured walls. This allows us to explore the relationship between the classical properties (T) and Haagerup and their versions using affine isometric actions on $L^p$-spaces. It also allows us to answer an open problem on a dynamical characterization of property (T), generalizing results of Robertson-Steger.
Publication status:
Published

### Access Document

Publisher copy:
10.1016/j.aim.2010.03.012

### Authors

Journal:
Volume:
225
Issue:
2
Pages:
882-921
Publication date:
2007-04-29
DOI:
EISSN:
1090-2082
ISSN:
0001-8708
Source identifiers:
67553
Language:
English
Keywords:
Pubs id:
pubs:67553
UUID:
Local pid:
pubs:67553
Deposit date:
2012-12-19