English

Generalized Bunce-Deddens algebras

Operator Algebras 2013-01-22 v1

Abstract

We define a broad class of crossed product C*-algebras of the form C(G)xG, where G is a discrete countable amenable residually finite group, and G is a profinite completion of G. We show that they are unital separable simple nuclear quasidiagonal C*-algebras, or real rank zero, stable rank one, with comparability of projections and with a unique trace.

Keywords

Cite

@article{arxiv.0812.0184,
  title  = {Generalized Bunce-Deddens algebras},
  author = {Stefanos Orfanos},
  journal= {arXiv preprint arXiv:0812.0184},
  year   = {2013}
}
R2 v1 2026-06-21T11:46:53.929Z