Download E-books Kazhdan's Property (T) (New Mathematical Monographs) PDF

By Bachir Bekka, Pierre de la de la Harpe, Alain Valette

Estate (T) is a tension estate for topological teams, first formulated by means of D. Kazhdan within the mid 1960's with the purpose of demonstrating that an enormous category of lattices are finitely generated. Later advancements have proven that estate (T) performs an enormous position in an amazingly huge number of topics, together with discrete subgroups of Lie teams, ergodic thought, random walks, operator algebras, combinatorics, and theoretical desktop technological know-how. This monograph bargains a complete advent to the idea. It describes the 2 most vital issues of view on estate (T): the 1st makes use of a unitary team illustration strategy, and the second one a hard and fast element estate for affine isometric activities. through those the authors speak about a number of vital examples and purposes to numerous domain names of arithmetic. a close appendix offers a scientific exposition of elements of the speculation of workforce representations which are used to formulate and increase estate (T).

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