Dauns-Hofmann-Kumjian-Renault Duality for Fell Bundles and Structured C*-Algebras
Abstract
We unify the classic Dauns-Hofmann representation with Kumjian and Renault's Weyl groupoid representation. More precisely, we use ultrafilters to represent C*-algebras with some additional structure on Fell bundles over locally compact \'etale groupoids. Our construction is even functorial and thus a fully-fledged non-commutative extension of the classic Gelfand duality.
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