Relative Kazhdan Property

Details Relative Kazhdan Property Relative Kazhdan Property

2005-05-10

arxiv.org/abs/math/0505193v2

Ann. Sci. Ecole Norm. Sup. 39(2), 301-333, 2006

Mathematics

Group Theory

36 pages, no figure; to appear in Ann. Sci. Ecole Norm. Sup

Scientific paper

10.1016/j.ansens.2005.12.006

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).

Affiliated with

Also associated with

No associations

Rating

Relative Kazhdan Property does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Relative Kazhdan Property, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relative Kazhdan Property will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-312984