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Dauns-Hofmann-Kumjian-Renault Duality for Fell Bundles and Structured C*-Algebras

Published 26 Apr 2021 in math.OA, math.CT, and math.RA | (2104.12415v2)

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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