Groups with the Haagerup Property: Gromov’s a-T-menability - Brossura

Cherix, Pierre-Alain; Cowling, Michael; Jolissaint, Paul; Julg, Pierre; Valette, Alain

Brossura

ISBN 10: 3034809050 ISBN 13: 9783034809054

Casa editrice: Birkhäuser, 2015

Riassunto

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.
The first chapter, by Valette, is a stimulating introduction to the whole book.
(Mathematical Reviews)

This book constitutes a collective volume due to five authors, featuring important breakthroughs in an intensively studied subject.
(Zentralblatt MATH)

Su questo libro

Dalla quarta di copertina

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. The first chapter, by Valette, is a stimulating introduction to the whole book.
(Mathematical Reviews)

This book constitutes a collective volume due to five authors, featuring important breakthroughs in an intensively studied subject.
(Zentralblatt MATH)

Dettagli dell'edizione

• Editore: Birkhäuser
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 3034809050
• ISBN 13: 9783034809054
• Rilegatura: Copertina flessibile
• Numero di pagine: 136
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile