2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61245We study properties of C*-algebraic deformations of homogeneous spaces $G/Γ$ 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 $C(G/G_ρ^0)$ for a certain subgroup $G_ρ^0$ of $G$, and there is a 1-1 correspondence between normalised traces and probability measures on $G/G_ρ^0$. This makes it possible to represent the deformed algebra as operators over $L^2(G/Γ)$. Applications to K-theory are also mentioned.12 pages, an error in the first version has been corrected. To appear in J. Funct. AnalOperator Algebras46L65text