  The equivariant coarse Baum-Connes conjecture was firstly introduced by Roe
[29] as a unified way to approach both the Baum-Connes conjecture and its
coarse counterpart. In this paper, we prove that if an a-T-menable group
$\Gamma$ acts properly and isometrically on a bounded geometry metric space $X$
with controlled distortion such that the quotient space $X/\Gamma$ is coarsely
embeddable, then the equivariant coarse Baum-Connes conjecture holds for this
action. This answers a question posed in [8] affirmatively.
