| 000 | 01006camuu22002894a 4500 | |
| 001 | 000000767693 | |
| 005 | 20020521160141 | |
| 008 | 010604s2001 sz a b 001 0 eng | |
| 010 | ▼a ?01037425 | |
| 020 | ▼a 3764365986 (alk. paper) | |
| 020 | ▼a 0817665986 (alk. paper) | |
| 040 | ▼a DLC ▼c DLC ▼d OHX ▼d C#P ▼d 211009 | |
| 042 | ▼a pcc | |
| 049 | 1 | ▼l 121063021 ▼f 과학 |
| 050 | 0 0 | ▼a QA174.2 ▼b .G765 2001 |
| 072 | 7 | ▼a QA ▼2 lcco |
| 082 | 0 0 | ▼a 512/.2 ▼2 21 |
| 090 | ▼a 512.2 ▼b G882 | |
| 245 | 0 0 | ▼a Groups with the Haagerup property : ▼b Gromov's a-T-menability / ▼c Pierre-Alain Cherix ... [et al.]. |
| 260 | ▼a Basel ; ▼a Boston : ▼b Birkhauser, ▼c c2001. | |
| 300 | ▼a vii, 126 p. : ▼b ill. ; ▼c 24 cm. | |
| 440 | 0 | ▼a Progress in mathematics ; ▼v v. 197 |
| 504 | ▼a Includes bibliographical references (p. [115]-123) and index. | |
| 650 | 0 | ▼a Group theory. |
| 700 | 1 | ▼a Cherix, Pierre-Alain , ▼d 1966- |
| 938 | ▼a Otto Harrassowitz ▼b HARR ▼n har015024253 ▼c 118.00 DEM |
Holdings Information
| No. | Location | Call Number | Accession No. | Availability | Due Date | Make a Reservation | Service |
|---|---|---|---|---|---|---|---|
| No. 1 | Location Science & Engineering Library/Sci-Info(Stacks2)/ | Call Number 512.2 G882 | Accession No. 121063021 | Availability Available | Due Date | Make a Reservation | Service |
Contents information
Table of Contents
1 Introduction.- 1.1 Basic definitions.- 1.1.1 The Haagerup property, or a-T-menability.- 1.1.2 Kazhdan's property (T).- 1.2 Examples.- 1.2.1 Compact groups.- 1.2.2 SO(n, 1) and SU(n, 1).- 1.2.3 Groups acting properly on trees.- 1.2.4 Groups acting properly on R-trees.- 1.2.5 Coxeter groups.- 1.2.6 Amenable groups.- 1.2.7 Groups acting on spaces with walls.- 1.3 What is the Haagerup property good for?.- 1.3.1 Harmonic analysis: weak amenability.- 1.3.2 K-amenability.- 1.3.3 The Baum-Connes conjecture.- 1.4 What this book is about.- 2 Dynamical Characterizations.- 2.1 Definitions and statements of results.- 2.2 Actions on measure spaces.- 2.3 Actions on factors.- 3 Simple Lie Groups of Rank One.- 3.1 The Busemann cocycle and theGromov scalar product.- 3.2 Construction of a quadratic form.- 3.3 Positivity.- 3.4 The link with complementary series.- 4 Classification of Lie Groups with the Haagerup Property.- 4.0 Introduction.- 4.1 Step one.- 4.1.1 The fine structure of Lie groups.- 4.1.2 A criterion for relative property (T).- 4.1.3 Conclusion of step one.- 4.2 Step two.- 4.2.1 The generalized Haagerup property.- 4.2.2 Amenable groups.- 4.2.3 Simple Lie groups.- 4.2.4 A covering group.- 4.2.5 Spherical functions.- 4.2.6 The group SU(n,1).- 4.2.7 The groups SO(n, 1) and SU(n,1)..- 4.2.8 Conclusion of step two.- 5 The Radial Haagerup Property.- 5.0 Introduction.- 5.1 The geometry of harmonic NA groups.- 5.2 Harmonic analysis on H-type groups.- 5.3 Analysis on harmonic NA groups.- 5.4 Positive definite spherical functions.- 5.5 Appendix on special functions.- 6 Discrete Groups.- 6.1 Some hereditary results.- 6.2 Groups acting on trees.- 6.3 Group presentations.- 6.4 Appendix: Completely positive mapson amalgamated products,by Paul Jolissaint.- 7 Open Questions and Partial Results.- 7.1 Obstructions to the Haagerup property.- 7.2 Classes of groups.- 7.2.1 One-relator groups.- 7.2.2 Three-manifold groups.- 7.2.3 Braid groups.- 7.3 Group constructions.- 7.3.1 Semi-direct products.- 7.3.2 Actions on trees.- 7.3.3 Central extensions.- 7.4 Geometric characterizations.- 7.4.1 Chasles' relation.- 7.4.2 Some cute and sexy spaces.- 7.5 Other dynamical characterizations.- 7.5.1 Actions on infinite measure spaces.- 7.5.2 Invariant probability measures.
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