Property a for Groups Acting on Metric Spaces

Gouliang Yu has introduced a property of discrete metric spaces and groups called property A which implies the coarse Baum-Connes Conjecture and hence the Novikov Higher Signature Conjecture. In this paper we extend a result of Jean-Louis Tu to conclude that a group acting by isometries on a metric space with finite asymptotic dimension whose -stabilizers have property A, also has property A. As a result, we conclude a theorem of Tu, according to which, a fundamental group of a finite graph of groups whose vertices have property A also has property A