  We introduce the dual Roe algebras for proper \'{e}tale groupoid actions and
deduce the expected Higson-Roe short exact sequence. When the action is
cocompact, we show that the Roe $C^*$-ideal of locally compact operators is
Morita equivalent to the reduced $C^*$-algebra of our groupoid, and we further
identify the boundary map of the associated periodic six-term exact sequence
with the Baum-Connes map, via a Paschke-Higson map for groupoids. For proper
actions on continuous families of manifolds of bounded geometry, we associate
with any $G$-equivariant Dirac-type family, a coarse index class which
generalizes the Paterson index class and also the Moore-Schochet Connes' index
class for laminations.
