Reduced 1-cohomology and relative property (T)
Group Theory
2009-12-08 v1 Representation Theory
Abstract
Shalom characterized property (T) in terms of the vanishing of all reduced first cohomology. We characterize group pairs having the property that the restriction map on all first reduced cohomology vanishes. We show that, in a strong sense, this is inequivalent to relative property (T).
Cite
@article{arxiv.0912.1093,
title = {Reduced 1-cohomology and relative property (T)},
author = {Talia Fernós and Alain Valette},
journal= {arXiv preprint arXiv:0912.1093},
year = {2009}
}
Comments
18 pages