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About: Kazhdan's property (T)     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Group100031264, within Data Space : dbpedia.org associated with source document(s)

Type: placeyago:WikicatTopologicalGroupsyago:Abstraction100002137yago:Group100031264 New Facet based on Instances of this Class

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, gives this a precise, quantitative meaning.