easy or hard to find. Kazhdan's theorem: If Γ is a lattice in a Lie group G then Γ has property (T) if and only if G has property (T). Thus for n ≥ 3, the...

representations of metaplectic groups. Kazhdan's property (T) is widely used in representation theory. Kazhdan held a MacArthur Fellowship from 1990 to...

{\displaystyle \mathrm {SO} (n,1),\mathrm {SU} (n,1)} do not have Kazhdan's property (T) while irreducible lattices in all other simple Lie groups do; Lattices...

C*-algebra. This property was first studied by Takesaki (1964) under the name "Property T", which is not related to Kazhdan's property T. Nuclearity admits...

and both N and G/N have property FA, then so does G. It is a theorem of Watatani that Kazhdan's property (T) implies property FA, but not conversely....

in the form of Kazhdan property (T). The following statement holds: If a discrete group G {\displaystyle G} has Kazhdan's property (T), and S {\displaystyle...

Haagerup property, named after Uffe Haagerup and also known as Gromov's a-T-menability, is a property of groups that is a strong negation of Kazhdan's property...

the von Neumann group algebra of a countable discrete group with Kazhdan's property (T) (the trivial representation is isolated in the dual space), such...

number theory and combinatorics." Margulis's early work dealt with Kazhdan's property (T) and the questions of rigidity and arithmeticity of lattices in...

rigidity. The study of unitary representations of discrete groups and Kazhdan's property (T) The study of Out(Fn) (the outer automorphism group of a free group...