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10 papers · 1 filter
Coactions and Fell bundles
S. Kaliszewski, Paul S. Muhly, John Quigg +1
We show that if is a Fell bundle over a locally compact group , then there is a natural coaction of on the Fell-bundle -algebra such that if …
Naturality of Rieffel's Morita equivalence for proper actions
Astrid an Huef, S. Kaliszewski, Iain Raeburn +1
Suppose that a locally compact group acts freely and properly on the right of a locally compact space . Rieffel proved that if is an action of on a -algebra …
The Generalized Effros-Hahn Conjecture for Groupoids
Marius Ionescu, Dana P. Williams
The generalized Effros-Hahn conjecture for groupoid C*-algebras says that, if G is amenable, then every primitive ideal of the groupoid C*-algebra C*(G) is induced from a stability…
Equivalence and Disintegration Theorems for Fell Bundles and their C*-algebras
Paul S. Muhly, Dana P. Williams
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 st…
Irreducible Representations of Groupoid -algebras
Marius Ionescu, Dana P. Williams
If is a second countable locally compact Hausdorff groupoid with Haar system, we show that every representation induced from an irreducible representation of a stability group…
Extension problems for representations of crossed-product C*-algebras
Astrid an Huef, S. Kaliszewski, Iain Raeburn +1
We consider the following problem. Suppose is an action of a locally compact group on a -algebra , is a closed subgroup of , and is a covariant repre…