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- Q6381062 subject Q8488080.
- Q6381062 subject Q8867041.
- Q6381062 subject Q8911731.
- Q6381062 abstract "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.Although originally defined in terms of irreducible representations, property (T) can often be checked even when there is little or no explicit knowledge of the unitary dual. Property (T) has important applications to group representation theory, lattices in algebraic groups over local fields, ergodic theory, geometric group theory, expanders, operator algebras and the theory of networks.".
- Q6381062 wikiPageExternalLink what-is.pdf.
- Q6381062 wikiPageExternalLink KazhdanTotal.pdf.
- Q6381062 wikiPageExternalLink ICM_Vol_2_60.pdf.
- Q6381062 wikiPageExternalLink On%20property.pdf.
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- Q6381062 comment "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.".
- Q6381062 label "Kazhdan's property (T)".