Weak Amenability of Hyperbolic Groups

Details Weak Amenability of Hyperbolic Groups Weak Amenability of Hyperbolic Groups

2007-04-12

arxiv.org/abs/0704.1635v3

Mathematics

Functional Analysis

8 pages. Final version. Groups Geom. Dyn., to appear

Scientific paper

We prove that hyperbolic groups are weakly amenable. This partially extends the result of Cowling and Haagerup showing that lattices in simple Lie groups of real rank one are weakly amenable. We take a combinatorial approach in the spirit of Haagerup and prove that for the word length metric d on a hyperbolic group, the Schur multipliers associated with r^d have uniformly bounded norms for 0

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