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Fell Bundles and Imprimitivity Theorems: Towards a Universal Generalized Fixed Point Algebra
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Fell Bundles and Imprimitivity Theorems: Towards a Universal Generalized Fixed Point Algebra

S. Kaliszewski, Paul S. Muhly, John Quigg and Dana P. Williams
Indiana University mathematics journal, Vol.62(6), pp.1691-1716
01/01/2013
DOI: 10.1512/iumj.2013.62.5107

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Abstract

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 action and the generalized fixed-point algebra is a quotient of a Morita equivalence between the full crossed product and a "universal" fixed-point algebra. We give several applications to Fell bundles over groups, reduced crossed products as fixed-point algebras, and C*-bundles.
Mathematics Physical Sciences Science & Technology

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