property (T)

GPTKB entity

Statements (29)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Kazhdan's_property_(T)
gptkbp:appliesTo topological groups
locally compact groups
gptkbp:characterizedBy rigidity of unitary representations
gptkbp:contrastsWith property (FH)
property (FAb)
gptkbp:example gptkb:SL(3,Z)
abelian groups
free groups
higher rank lattices
gptkbp:field gptkb:mathematics
gptkb:topology
group theory
representation theory
https://www.w3.org/2000/01/rdf-schema#label property (T)
gptkbp:implies fixed point property for affine isometric actions on Hilbert spaces
finite generation (for discrete groups)
gptkbp:importantFor ergodic theory
geometric group theory
expander graphs
operator algebras
gptkbp:introduced gptkb:David_Kazhdan
gptkbp:introducedIn 1967
gptkbp:relatedTo gptkb:Haagerup_property
property (τ)
property (FAb)
gptkbp:bfsParent gptkb:Haagerup_property
gptkbp:bfsLayer 6