In mathematics, a locally compact topological group G has property (T) if the trivial representation is an isolated point in its unitary dual under 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 was introduced by David Kazhdan in 1967 to give this idea a precise, quantitative meaning.
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Origin Yearthe formal definition, introduced by David Kazhdan (1967) Kazhdan's Property (T)
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Source Kazhdan's Property (T) (Wikipedia)
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Source Kazhdan's Property (T) (Wikipedia)
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Principal Result Of
Source Kazhdan's Property (T) (Wikipedia)
Source Grigory Margulis (Wikipedia)
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1. Kazhdan's Property (T) (Wikipedia)
Lead section
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.
Principal Result Of: David Kazhdan, Lead sentence of the article on the result
The formal definition, introduced by David Kazhdan (1967), gives this a precise, quantitative meaning.
In Branch: Topology, Lead sentence
point in its unitary dual equipped with the Fell topology.
Attributed To: David Kazhdan, Lead sentence, attribution
introduced by David Kazhdan (1967)
View the SourceGrigory Margulis (Wikipedia)
Principal Result Of: Grigory Margulis, Mathematical contributionsQuote, Principal Result Of: Grigory Margulis, Mathematical contributions
Margulis's early work dealt with Kazhdan's property (T)
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