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. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Origin Yearthe formal definition, introduced by David Kazhdan (1967) Connections
In Branch
Source Kazhdan's Property (T) (Wikipedia)
Is Kind Of Object
Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.
Sources
1. Kazhdan's Property (T) (Wikipedia)
In Branch: Topology, Lead sentenceQuote, In Branch: Topology, Lead sentence
point in its unitary dual equipped with the Fell topology.
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