Groups with the Haagerup Property

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  • Groups with the Haagerup Property Book Detail

  • Author : Pierre-Alain Cherix
  • Release Date : 2012-12-06
  • Publisher : Birkhäuser
  • Genre : Mathematics
  • Pages : 130
  • ISBN 13 : 3034882378
  • File Size : 31,31 MB

Groups with the Haagerup Property by Pierre-Alain Cherix PDF Summary

Book 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. This book is to covers various aspects of the Haagerup property. It gives several new examples.

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