A universal property for groupoid C*-algebras. II. Fell bundles
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910105602097152 |
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| author | Buss, Alcides Holkar, Rohit Meyer, Ralf |
| author_facet | Buss, Alcides Holkar, Rohit Meyer, Ralf |
| contents | We define possibly unsaturated, upper semicontinuous Fell bundles over Hausdorff, locally compact groupoids and establish a universal property for representations of their full section C*-algebras on Hilbert modules over arbitrary C*-algebras. Based on this, we prove that the full section C*-algebra is functorial and exact, and we define a quasi-orbit space and a quasi-orbit map. We deduce and extend Renault's Integration and Disintegration Theorems to general Fell bundles using our universal property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04397 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A universal property for groupoid C*-algebras. II. Fell bundles Buss, Alcides Holkar, Rohit Meyer, Ralf Operator Algebras 46L55, 22A22 We define possibly unsaturated, upper semicontinuous Fell bundles over Hausdorff, locally compact groupoids and establish a universal property for representations of their full section C*-algebras on Hilbert modules over arbitrary C*-algebras. Based on this, we prove that the full section C*-algebra is functorial and exact, and we define a quasi-orbit space and a quasi-orbit map. We deduce and extend Renault's Integration and Disintegration Theorems to general Fell bundles using our universal property. |
| title | A universal property for groupoid C*-algebras. II. Fell bundles |
| topic | Operator Algebras 46L55, 22A22 |
| url | https://arxiv.org/abs/2604.04397 |