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algebra > representation theory > group representation > Kazhdan's property (T)
algebra > group theory > topological group > Kazhdan's property (T)

Terme préférentiel

Kazhdan's property (T)  

Définition(s)

  • 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.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Kazhdan%27s_property_(T))

Concept(s) générique(s)

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http://data.loterre.fr/ark:/67375/PSR-SWNQSKFF-F

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RDF/XML TURTLE JSON-LD Date de création 30/08/2023, dernière modif. 30/08/2023