Almost Representations of Groupoids on Banach Bundles
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929573216649216 |
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| author | Trentinaglia, Giorgio |
| author_facet | Trentinaglia, Giorgio |
| contents | We extend an old result of de la Harpe and Karoubi, concerning almost representations of compact groups, to proper groupoids admitting continuous Haar measure systems. As an application, we establish the existence of sufficiently many continuous representations of such groupoids on finite-rank Hilbert bundles locally, and use this fact to prove a new generalization of the classical Tannaka duality theorem to groupoids in a purely topological setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00728 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Almost Representations of Groupoids on Banach Bundles Trentinaglia, Giorgio Representation Theory Operator Algebras Primary 22A22, Secondary 22A30, 28C10 We extend an old result of de la Harpe and Karoubi, concerning almost representations of compact groups, to proper groupoids admitting continuous Haar measure systems. As an application, we establish the existence of sufficiently many continuous representations of such groupoids on finite-rank Hilbert bundles locally, and use this fact to prove a new generalization of the classical Tannaka duality theorem to groupoids in a purely topological setting. |
| title | Almost Representations of Groupoids on Banach Bundles |
| topic | Representation Theory Operator Algebras Primary 22A22, Secondary 22A30, 28C10 |
| url | https://arxiv.org/abs/2406.00728 |