: Mathématiques: Kazhdan's property (T)

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Kazhdan's property (T)

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))

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