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.
Facts
Origin Yearthe formal definition, introduced by David Kazhdan (1967) Connections
Attributed To
Source Kazhdan's Property (T) (Wikipedia)
In Branch
Source Kazhdan's Property (T) (Wikipedia)
Is Kind Of Object
Principal Result Of
Source Kazhdan's Property (T) (Wikipedia)
Source Grigory Margulis (Wikipedia)
Sources
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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