Kazhdan's property (T)
id:
kazhdan-s-property-t-191-4673950
title:
Kazhdan's property (T)
text:
In mathematics, a locally compact topological group G has property (T) if the trivial representation is an isolated point in its unitary dual equipped with the Fell topology. Informally, this means that if G acts unitarily on a Hilbert space and has "almost invariant vectors", then it has a nonzero invariant vector. The formal definition, introduced by David Kazhdan (1967), gives this a precise, quantitative meaning. Although originally defined in terms of irreducible representations, property (
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematics term
original url:
https://en.wikipedia.org/wiki/Kazhdan%27s_property_(T)
date created:
date modified:
2024-04-16T17:34:30Z
main entity:
{"identifier":"Q30765715","url":"https://www.wikidata.org/entity/Q30765715"}
image:
fields total:
13
integrity:
14