Dauns-Hofmann-Kumjian-Renault Duality for Fell Bundles and Structured C*-Algebras
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866911765491613696 |
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| author | Bice, Tristan |
| author_facet | Bice, Tristan |
| contents | 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 étale groupoids. Our construction is even functorial and thus a fully-fledged non-commutative extension of the classic Gelfand duality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_12415 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Dauns-Hofmann-Kumjian-Renault Duality for Fell Bundles and Structured C*-Algebras Bice, Tristan Operator Algebras Category Theory Rings and Algebras 16G30, 20M30, 22A22, 46L05, 46L85, 54D80 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 étale groupoids. Our construction is even functorial and thus a fully-fledged non-commutative extension of the classic Gelfand duality. |
| title | Dauns-Hofmann-Kumjian-Renault Duality for Fell Bundles and Structured C*-Algebras |
| topic | Operator Algebras Category Theory Rings and Algebras 16G30, 20M30, 22A22, 46L05, 46L85, 54D80 |
| url | https://arxiv.org/abs/2104.12415 |