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Groups with the Haagerup Property: Gromov's A-T-Menability
Paperback
Series: Modern Birkhäuser Classics
AlgebraGeneral MathematicsProbability & Statistics
ISBN13: 9783034809054
Publisher: Springer Nature
Published: Mar 10 2015
Pages: 126
Weight: 0.44
Height: 0.29 Width: 6.14 Depth: 9.21
Language: English
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.
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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)
1 different editions
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