  Let $\alpha : \Gamma \curvearrowright A$ be an action of a discrete group
$\Gamma$ on a unital C*-algebra $A$ by *-automorphisms and let $A
\rtimes_{\alpha,\lambda} \Gamma$ denote the corresponding reduced crossed
product C*-algebra. Assuming that $\Gamma$ satisfies the approximation
property, we establish a sufficient and (almost always) necessary condition on
the action $\alpha$ for the existence of a Galois correspondence between
intermediate C*-algebras for the inclusion $A \subseteq A
\rtimes_{\alpha,\lambda} \Gamma$ and partial subactions of $\alpha$. This
condition, which we refer to as pointwise residual proper outerness, is a
natural noncommutative generalization of freeness.
