Kazhdan's property (T):
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...
Gespeichert in:
| Beteilige Person: | |
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| Weitere beteiligte Personen: | , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
|
| Schriftenreihe: | New mathematical monographs
11 |
| Links: | https://doi.org/10.1017/CBO9780511542749 |
| Zusammenfassung: | 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). |
| Umfang: | 1 Online-Ressource (xiii, 472 Seiten) |
| ISBN: | 9780511542749 |
Internformat
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| 520 | |a 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). | ||
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| 700 | 1 | |a Valette, Alain | |
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| spelling | Bekka, M. Bachir Kazhdan's property (T) Bachir Bekka, Pierre de la Harpe and Alain Valette Cambridge Cambridge University Press 2008 1 Online-Ressource (xiii, 472 Seiten) txt c cr New mathematical monographs 11 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). La Harpe, Pierre de Valette, Alain Erscheint auch als Druck-Ausgabe 9780521887205 Erscheint auch als Druck-Ausgabe 9781107471504 |
| spellingShingle | Bekka, M. Bachir Kazhdan's property (T) |
| title | Kazhdan's property (T) |
| title_auth | Kazhdan's property (T) |
| title_exact_search | Kazhdan's property (T) |
| title_full | Kazhdan's property (T) Bachir Bekka, Pierre de la Harpe and Alain Valette |
| title_fullStr | Kazhdan's property (T) Bachir Bekka, Pierre de la Harpe and Alain Valette |
| title_full_unstemmed | Kazhdan's property (T) Bachir Bekka, Pierre de la Harpe and Alain Valette |
| title_short | Kazhdan's property (T) |
| title_sort | kazhdan s property t |
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