Generalized Bunce–Deddens algebras
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Abstract:
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 rank one, with comparability of projections and with a unique trace.References
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Additional Information
- Stefanos Orfanos
- Affiliation: Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221
- Email: stefanos.orfanos@uc.edu
- Received by editor(s): November 30, 2008
- Received by editor(s) in revised form: June 7, 2009
- Published electronically: August 31, 2009
- Communicated by: Marius Junge
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 299-308
- MSC (2000): Primary 47A66, 47L65
- DOI: https://doi.org/10.1090/S0002-9939-09-10071-0
- MathSciNet review: 2550195