Title

Opposite algebras of groupoid C*-algebras

Publication Name

Israel Journal of Mathematics

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.

Open Access Status

This publication may be available as open access

Funding Number

DP150101598

Funding Sponsor

Australian Research Council

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Link to publisher version (DOI)

http://dx.doi.org/10.1007/s11856-021-2190-5