| Groups with the Haagerup Property: Gromov's A-T-Menability 2001 Edition Contributor(s): Cherix, Pierre-Alain (Author), Cowling, Michael (Author), Jolissaint, Paul (Author) |
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ISBN: 3034809050 ISBN-13: 9783034809054 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: March 2015 |
| Additional Information |
| BISAC Categories: - Mathematics | Group Theory - Mathematics | Probability & Statistics - General - Mathematics | Algebra - Abstract |
| Dewey: 512.2 |
| Series: Modern Birkhäuser Classics |
| Physical Information: 0.29" H x 6.14" W x 9.21" (0.44 lbs) 126 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: A locally compact group has the Haagerup property, or is a-T-menable in the sense of Gromov, if it admits a proper isometric action on some affine Hilbert space. As Gromov's pun is trying to indicate, this definition is designed as a strong negation to Kazhdan's property (T), characterized by the fact that every isometric action on some affine Hilbert space has a fixed point. The aim of this book is to cover, for the first time in book form, various aspects of the Haagerup property. New characterizations are brought in, using ergodic theory or operator algebras. Several new examples are given and new approaches to previously known examples are proposed. Connected Lie groups with the Haagerup property are completely characterized. --- The book is extremely interesting, stimulating and well written (...) and it is strongly recommended to graduate students and researchers in the fields of geometry, group theory, harmonic analysis, ergodic theory and operator algebras.
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