Kazhdan's property (T)

Property (T) is a rigidity property for topological groups, first formulated by D. Kazhdan in the mid 1960's with the aim of demonstrating that a large class of lattices are finitely generated. Later developments have shown that Property (T) plays an important role in an amazingly large variety...

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Bibliographic Details
Main Authors: Bekka, M. Bachir, La Harpe, Pierre de (Author), Valette, Alain (Author)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2008
Series:New mathematical monographs
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Table of Contents:
  • Definitions, first consequences, and basic examples
  • Property (FH)
  • Reduced cohomology
  • Bounded generation
  • A spectral criterion for property (T)
  • Some applications of property (T)
  • A short list of open questions
  • Unitary group representations
  • Measures on homogeneous spaces
  • Functions of positive type and GNS construction
  • Unitary Representations of locally compact abelian groups
  • Induced representations
  • Weak containment and Fell's topology
  • Amenability