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Opposite algebras of groupoid C*-algebras

Journal Article


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.

Publication Date


  • 2017

Citation


  • Buss, A., & Sims, A. (2017). Opposite algebras of groupoid C*-algebras. Retrieved from http://arxiv.org/abs/1708.04105v1

Web Of Science Accession Number


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.

Publication Date


  • 2017

Citation


  • Buss, A., & Sims, A. (2017). Opposite algebras of groupoid C*-algebras. Retrieved from http://arxiv.org/abs/1708.04105v1

Web Of Science Accession Number