Kazhdan property (T)

GPTKB entity

Statements (27)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo topological groups
locally compact groups
gptkbp:category gptkb:Representation_theory
Group properties
gptkbp:characterizedBy every unitary representation with almost invariant vectors has a nonzero invariant vector
gptkbp:example gptkb:SL(3,Z)
abelian groups
free groups
higher rank lattices
gptkbp:field group theory
representation theory
https://www.w3.org/2000/01/rdf-schema#label Kazhdan property (T)
gptkbp:implies finite generation
fixed point property for affine isometric actions on Hilbert spaces
gptkbp:introduced gptkb:David_Kazhdan
gptkbp:introducedIn 1967
gptkbp:namedAfter gptkb:David_Kazhdan
gptkbp:relatedTo gptkb:Haagerup_property
property (FH)
property (τ)
gptkbp:usedIn ergodic theory
geometric group theory
expander graphs
operator algebras
gptkbp:bfsParent gptkb:David_Kazhdan
gptkbp:bfsLayer 4