Equivalence and disintegration theorems for Fell bundles and their C*-algebras

By P. Muhly, Dana P. Williams. 2008

74 citations recorded by the source corpus.

We study the C*-algebras of Fell bundles. In particular, we prove the analogue of Renault's disintegration theorem for groupoids. As in the groupoid case, this result is the key step in proving a deep equivalence theorem for the C*-algebras of Fell bundles.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/43f06b36d73866d8cd70163903d286153975ad7a

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In Algebra and Number Theory

1. Chenchang Zhu
2. R. Meyer
3. Alcides Buss
4. R. Nest
5. A. Henriques

In Mathematical Physics

1. Chenchang Zhu
2. R. Meyer
3. Alcides Buss
4. Alain Connes
5. R. Nest
6. C. Consani
7. Matilde Marcolli
8. Christian Voigt

Citations in the corpus

• A higher category approach to twisted actions on c* -algebras (2009, methodology): “Continuity of correspondences and Morita equivalences between Fell bundles is defined by requiring, in addition, that the Banach bundle Γ = {Γg}g∈G be upper semi-continuous and the left and right actions and inner products on Γ be continuous (see [21]).”