Renault's Equivalence Theorem for Reduced Groupoid C*-algebras
arXiv:1002.3093
Abstract
We use the technology of linking groupoids to show that equivalent groupoids have Morita equivalent reduced C*-algebras. This equivalence is compatible in a natural way in with the Equivalence Theorem for full groupoid C*-algebras.
14 Pages, added references with minor changes to the introduction and the end of section one
References in corpus (1)
Cited by in corpus (15)
- Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras
- Reconstruction of groupoids and C*-rigidity of dynamical systems
- Étale groupoids and their -algebras
- Ample groupoids: equivalence, homology, and Matui's HK conjecture
- A Dixmier-Douady classification for Fell algebras
- An equivalence theorem for reduced Fell bundle C*-algebras
- Some remarks about the weak containment property for groupoids and semigroups
- Non-amenable principal groupoids with weak containment
- Iterated crossed products for groupoid fibrations
- On some permanence properties of exact groupoids
- Localised module frames and Wannier bases from groupoid Morita equivalences
- Equivalence of Fell Systems and their Reduced C*-Algebras
- Sofic boundaries of groups and coarse geometry of sofic approximations
- Groupoid Models of -algebras and Gelfand Duality
- Equivalence and Exact Groupoids