Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
topological groups
locally compact groups |
| gptkbp:characterizedBy |
existence of spectral gap in unitary representations
|
| gptkbp:contrastsWith |
gptkb:Haagerup_property
amenability |
| gptkbp:field |
group theory
representation theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Kazhdan's property (T)
|
| gptkbp:implies |
fixed point property for affine isometric actions on Hilbert spaces
finite generation of discrete groups |
| gptkbp:introduced |
gptkb:David_Kazhdan
|
| gptkbp:introducedIn |
1967
|
| gptkbp:namedAfter |
gptkb:David_Kazhdan
|
| gptkbp:notableExample |
gptkb:SL(3,_Z)
higher rank lattices |
| gptkbp:symbol |
gptkb:Property_(T)
|
| gptkbp:usedIn |
ergodic theory
geometric group theory expander graphs operator algebras |
| gptkbp:bfsParent |
gptkb:Group_theory
|
| gptkbp:bfsLayer |
5
|