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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


  • 2021

Citation


  • Buss, A., & Sims, A. (2021). Opposite algebras of groupoid C*-algebras. Israel Journal of Mathematics. doi:10.1007/s11856-021-2190-5

Scopus Eid


  • 2-s2.0-85113150900

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


  • 2021

Citation


  • Buss, A., & Sims, A. (2021). Opposite algebras of groupoid C*-algebras. Israel Journal of Mathematics. doi:10.1007/s11856-021-2190-5

Scopus Eid


  • 2-s2.0-85113150900

Web Of Science Accession Number