Relatively Hyperbolic Groups with Rapid Decay Property
arXiv:math/0405500
Abstract
We prove that a finitely generated group hyperbolic relative to the collection of finitely generated subgroups H_1,..., H_m has the Rapid Decay property if and only if each H_i, i=1,2,..., m, has the Rapid Decay property.
10 pages. Accepted in International Mathematics Research Notices