Stable rank and real rank of compact transformation group C*-algebras

Let (G, X) be a transformation group, where X is a locally compact Hansdorff space and G is a compact group. We investigate the stable rank and the real rank of the transformation group C*-algebra C-o(X) x G. Explicit formulae are given in the case where X and G are second countable and X is locally of finite G-orbit type. As a consequence, we calculate the ranks of the group C*-algebra C*(R' x G), where G is a connected closed subgroup of SO(n) acting on R-n by rotation.