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 way of D. Kazhdan within the mid 1960's with the purpose of demonstrating that a huge 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 concept, random walks, operator algebras, combinatorics, and theoretical desktop technological know-how. This monograph deals a finished advent to the speculation. It describes the 2 most vital issues of view on estate (T): the 1st makes use of a unitary crew illustration method, and the second one a hard and fast element estate for affine isometric activities. through those the authors speak about a number vital examples and functions to a number of domain names of arithmetic. a close appendix presents a scientific exposition of components of the idea of staff representations which are used to formulate and strengthen estate (T).

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