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arXiv · 2104.12415

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

Tristan Bice
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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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BibTeXRIS

Tristan Bice. 2021-04-26. Dauns-Hofmann-Kumjian-Renault Duality for Fell Bundles and Structured C*-Algebras. https://arxiv.org/abs/2104.12415

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