000			02806nam a22003978i 4500
001			CR9780511542749
003			UkCbUP
005			20200124160236.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090505s2008||||enk o ||1 0|eng|d
020			_a9780511542749 (ebook)
020			_z9780521887205 (hardback)
020			_z9781107471504 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA387 _b.B427 2008
082	0	4	_a512.55 _222
100	1		_aBekka, M. Bachir, _eauthor.
245	1	0	_aKazhdan's property (T) / _cBachir Bekka, Pierre de la Harpe and Alain Valette.
264		1	_aCambridge : _bCambridge University Press, _c2008.
300			_a1 online resource (xiii, 472 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aNew mathematical monographs ; _v11
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aDefinitions, first consequences, and basic examples -- Property (FH) -- Reduced cohomology -- Bounded generation -- A spectral criterion for property (T) -- Some applications of property (T) -- A short list of open questions -- Unitary group representations -- Measures on homogeneous spaces -- Functions of positive type and GNS construction -- Unitary Representations of locally compact abelian groups -- Induced representations -- Weak containment and Fell's topology -- Amenability.
520			_aProperty (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).
650		0	_aTopological groups.
650		0	_aMathematics.
700	1		_aLa Harpe, Pierre de, _eauthor.
700	1		_aValette, Alain, _eauthor.
776	0	8	_iPrint version: _z9780521887205
830		0	_aNew mathematical monographs ; _v11.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511542749
999			_c518051 _d518049