TY - BOOK ID - 7116032 TI - Kazhdan's property (T) AU - Bekka, M. Bachir AU - La Harpe, Pierre de AU - Valette, Alain PY - 2008 VL - 11 SN - 9780521887205 0521887208 9780511542749 9781107471504 9780511395116 0511395116 0511392486 9780511392481 0511542747 1107186986 9781107186989 1281370843 9781281370846 9786611370848 6611370846 0511394462 9780511394461 0511393776 9780511393778 051139117X PB - Cambridge : Cambridge University Press, DB - UniCat KW - Topological Groups KW - Mathematics KW - Topological groups. KW - Mathematics. KW - Math KW - Science KW - Groups, Topological KW - Continuous groups KW - Topological groups KW - Kazhdan, D. UR - https://www.unicat.be/uniCat?func=search&query=sysid:7116032 AB - Property (T) is a rigidity property for topological groups, first formulated by D. Kazhdan in the mid 1960's with the aim of demonstrating that a large class of lattices are finitely generated. Later developments have shown that Property (T) plays an important role in an amazingly large variety of subjects, including discrete subgroups of Lie groups, ergodic theory, random walks, operator algebras, combinatorics, and theoretical computer science. This monograph offers a comprehensive introduction to the theory. It describes the two most important points of view on Property (T): the first uses a unitary group representation approach, and the second a fixed point property for affine isometric actions. Via these the authors discuss a range of important examples and applications to several domains of mathematics. A detailed appendix provides a systematic exposition of parts of the theory of group representations that are used to formulate and develop Property (T). ER -