Generalised Twisted Groupoids and their C*-algebras
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866917077258862592 |
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| author | Clark, Lisa Orloff Ceallaigh, Michael Ó Pham, Hung |
| author_facet | Clark, Lisa Orloff Ceallaigh, Michael Ó Pham, Hung |
| contents | We consider a locally compact Hausdorff groupoid $G$, and twist by a more general locally compact Hausdorff abelian group $Γ$ rather than the complex unit circle $\mathbb{T}$. We investigate the construction of $C^*$-algebras in analogue to the usual twisted groupoid $C^*$-algebras, and we show that, in fact, any $Γ$-twisted groupoid $C^*$-algebra is isomorphic to a usual twisted groupoid $C^*$-algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12398 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalised Twisted Groupoids and their C*-algebras Clark, Lisa Orloff Ceallaigh, Michael Ó Pham, Hung Operator Algebras 46L05 We consider a locally compact Hausdorff groupoid $G$, and twist by a more general locally compact Hausdorff abelian group $Γ$ rather than the complex unit circle $\mathbb{T}$. We investigate the construction of $C^*$-algebras in analogue to the usual twisted groupoid $C^*$-algebras, and we show that, in fact, any $Γ$-twisted groupoid $C^*$-algebra is isomorphic to a usual twisted groupoid $C^*$-algebra. |
| title | Generalised Twisted Groupoids and their C*-algebras |
| topic | Operator Algebras 46L05 |
| url | https://arxiv.org/abs/2506.12398 |