%0 Journal Article
%T Boundary Amenability of Relatively Hyperbolic Groups
%A Narutaka Ozawa
%J Mathematics
%D 2005
%I arXiv
%X Let K be a fine hyperbolic graph and G be a group acting on K with finite quotient. We prove that G is exact provided that all vertex stabilizers are exact. In particular, a relatively hyperbolic group is exact if all its peripheral groups are exact. We prove this by showing that the group G acts amenably on a compact topological space. We include some applications to the theories of group von Neumann algebras and of measurable orbit equivalence relations.
%U http://arxiv.org/abs/math/0501555v3