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4 papers · 2 filters
Structure of crossed products by strictly proper actions on continuous-trace algebras
Siegfried Echterhoff, Dana P. Williams
We examine the ideal structure of crossed products B\rtimes G where B is a continuous-trace C*-algebra and the induced action of G on the spectrum of B is proper. In particular, we…
Groupoid equivalence and the associated iterated crossed product
Jonathan Henry Brown, Geoff Goehle, Dana P. Williams
Given groupoids and and a -equivalence we may form the transformation groupoid . Given a separable groupoid dynamical system $(A,G\ltimes X\…
Fell bundles and imprimitivity theorems: Mansfield's and Fell's theorems
S. Kaliszewski, Paul S. Muhly, John Quigg +1
In the third and latest paper in this series, we recover the imprimitivity theorems of Mansfield and Fell using our technique of Fell bundles over groupoids. Also, we apply the Rie…
Fell bundles and imprimitivity theorems: towards a universal generalized fixed point algebra
S. Kaliszewski, Paul S. Muhly, John Quigg +1
We apply the One-Sided Action Theorem from the first paper in this series to prove that Rieffel's Morita equivalence between the reduced crossed product by a proper saturated actio…