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).
| ISBN: | 9780521887205 |
| Publication date: | 17th April 2008 |
| Author: | Bachir Université de Rennes I, France Bekka, Pierre de la Université de Genève de la Harpe, Alain Université de N Valette |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 486 pages |
| Series: | New Mathematical Monographs |
| Genres: |
Algebra Topology |
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).
Kazhdan's Property (T) features in the following genres: Algebra, Topology
Kazhdan's Property (T) is available in Hardback
Kazhdan's Property (T) was written by Bachir Université de Rennes I, France Bekka, Pierre de la Université de Genève de la Harpe, Alain Université de N Valette and published by Cambridge University Press
Kazhdan's Property (T) has 486 pages
Yes it is part of New Mathematical Monographs series
£138.60