Uniform embeddability of relatively hyperbolic groups

Abstract

Let $\Gamma$ be a finitely generated group which is hyperbolic relative to a finite family $\{H_1,...,H_n\}$ of subgroups. We prove that $\Gamma$ is uniformly embeddable in a Hilbert space if and only if each subgroup $H_i$ is uniformly embeddable in a Hilbert space.

12 pages

References in corpus (2)

• Asymptotic dimension of relatively hyperbolic groups
• Exactness of reduced amalgamated free product C*-algebras

Cited by in corpus (1)

• Boundary Amenability of Relatively Hyperbolic Groups