Generalized Bunce–Deddens algebras
Generalized Bunce–Deddens algebras
We define a broad class of crossed product C*-algebras of the form $C(\tilde {G})\rtimes G$, where $G$ is a discrete countable amenable residually finite group, and $\tilde {G}$ is a profinite completion of $G$. We show that they are unital separable simple nuclear quasidiagonal C*-algebras, of real rank zero, stable …