  We study properties of C*-algebraic deformations of homogeneous spaces
$G/\Gamma$ which are equivariant in the sense that they preserve the natural
action of $G$ by left translation. The center is shown to be isomorphic to
$C(G/G_\rho^0)$ for a certain subgroup $G_\rho^0$ of $G$, and there is a 1-1
correspondence between normalised traces and probability measures on
$G/G_\rho^0$. This makes it possible to represent the deformed algebra as
operators over $L^2(G/\Gamma)$. Applications to K-theory are also mentioned.
