Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Kazhdan's_property_(T)
|
| gptkbp:appliesTo |
topological groups
locally compact groups |
| gptkbp:characterizedBy |
existence of a spectral gap for unitary representations
|
| gptkbp:contrastsWith |
amenability
|
| gptkbp:example |
gptkb:SL(3,_Z)
abelian groups free groups compact groups higher rank lattices amenable groups |
| gptkbp:field |
gptkb:mathematics
ergodic theory group theory representation theory operator algebras |
| 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 of discrete groups with property (T) |
| gptkbp:importantFor |
gptkb:C*-algebras
gptkb:von_Neumann_algebras expander graphs rigidity theory |
| gptkbp:introducedIn |
1967
|
| gptkbp:namedAfter |
gptkb:David_Kazhdan
|
| gptkbp:relatedTo |
gptkb:Kazhdan_constant
property (FH) property (τ) |
| gptkbp:usedIn |
construction of expanders
superrigidity theorems |
| gptkbp:bfsParent |
gptkb:Kazhdan's_property_(T)
|
| gptkbp:bfsLayer |
6
|