
doi: 10.1007/bf01295226
FollowingKazhdan, a separable locally compact groupG is said to have propertyT if the trivial representation is isolated in the dual space,Ĝ, of equivalence classes of continuous irreducible unitary representations ofG. We generalize results ofMargulis—Tits by showing that groups which have propertyT can not be amalgams.
Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Unitary representations of locally compact groups, Article, tree, amenable amalgams, 510.mathematics, negative-definite functions, Positive definite functions on groups, semigroups, etc., locally compact group, property T
Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Unitary representations of locally compact groups, Article, tree, amenable amalgams, 510.mathematics, negative-definite functions, Positive definite functions on groups, semigroups, etc., locally compact group, property T
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