Lie group structures on automorphism groups of real-analytic CR manifolds

Given any real-analytic CR manifold $M$, we provide general conditions on $M$ guaranteeing that the group of all its global real-analytic CR automorphisms Aut$_{CR}(M)$ is a Lie group (in an appropriate topology). In particular, we obtain a Lie group structure for Aut$_{CR}(M)$ when $M$ is an arbitrary compact real-analytic hypersurface embedded in some Stein manifold.