RELATIVE KAZHDAN PROPERTY

By Yves Cornulier. 2005

48 citations recorded by the source corpus.

Abstract We perform a systematic investigation of Kazhdan's relative Property (T) for pairs ( G , X ) , where G is 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 ⊂ G such that ( G , X ) has relative Property (T). In order to extend this characterization to lattices Γ ⊂ 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 ) .

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ecedc2e1b49a9addd54e227e3aa35d72157a224e

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In Geometry and Topology

1. Romain Tessera
2. Assaf Naor
3. Yuval Peres

In Mathematical Physics

1. Romain Tessera
2. Assaf Naor
3. Yuval Peres
4. Yves Cornulier

Citations in the corpus

• Asymptotic isoperimetry on groups and uniform embeddings into Banach spaces (2006, background): “Theorem 6.2. Let TJ be the binary rooted tree of depth J and let 1 C = C(q) C (q) C . (6.1) Corollary 6.3. Let F be any uniform embedding of the 3-regular tree T into some q-uniformly convex Banach space.”