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FELL BUNDLES AND IMPRIMITIVITY THEOREMS: MANSFIELD’S AND FELL’S THEOREMS
Journal article   Open access

FELL BUNDLES AND IMPRIMITIVITY THEOREMS: MANSFIELD’S AND FELL’S THEOREMS

S KALISZEWSKI, PAUL S MUHLY, JOHN QUIGG and DANA P WILLIAMS
Journal of the Australian Mathematical Society (2001), Vol.95(1), pp.68-75
08/2013
DOI: 10.1017/S1446788713000153
url
https://doi.org/10.1017/S1446788713000153View
Published (Version of record) Open Access

Abstract

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 Rieffel surjection of the first paper in the series to relate our version of Mansfield’s theorem to that of an Huef and Raeburn, and to give an automatic amenability result for certain transformation Fell bundles.
18A25 secondary 46M15 primary 46L55 imprimitivity theorem Fell bundle groupoid

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