English

Opposite algebras of groupoid C*-algebras

Operator Algebras 2017-08-15 v1

Abstract

We show that every groupoid C*-algebra is isomorphic to its opposite, and deduce that there exist C*-algebras that are not stably isomorphic to groupoid C*-algebras, though many of them are stably isomorphic to twisted groupoid C*-algebras. We also prove that the opposite algebra of a section algebra of a Fell-bundle over a groupoid is isomorphic to the section algebra of a natural opposite bundle.

Keywords

Cite

@article{arxiv.1708.04105,
  title  = {Opposite algebras of groupoid C*-algebras},
  author = {Alcides Buss and Aidan Sims},
  journal= {arXiv preprint arXiv:1708.04105},
  year   = {2017}
}

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10 pages