Relative Kazhdan Property
Group Theory
2010-08-04 v2
Abstract
We perform a systematic investigation of Kazhdan's relative Property (T) for pairs (G,X), where G a locally compact group and X is any subset. When G is a connected Lie group or a p-adic algebraic group, we provide an explicit characterization of subsets X of G such that (G,X) has relative Property (T). In order to extend this characterization to lattices of G, a notion of "resolutions" is introduced, and various characterizations of it are given. Special attention is paid to subgroups of SU(2,1) and SO(4,1).
Keywords
Cite
@article{arxiv.math/0505193,
title = {Relative Kazhdan Property},
author = {Yves de Cornulier},
journal= {arXiv preprint arXiv:math/0505193},
year = {2010}
}
Comments
36 pages, no figure; to appear in Ann. Sci. Ecole Norm. Sup