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arXiv · 2506.12398

Generalised Twisted Groupoids and their C*-algebras

Lisa Orloff Clark·Michael Ó Ceallaigh·Hung Pham
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Abstract

We consider a locally compact Hausdorff groupoid $G$, and twist by a more general locally compact Hausdorff abelian group $\Gamma$ 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 $\Gamma$-twisted groupoid $C^*$-algebra is isomorphic to a usual twisted groupoid $C^*$-algebra.

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Lisa Orloff Clark, Michael Ó Ceallaigh, Hung Pham. 2025-06-14. Generalised Twisted Groupoids and their C*-algebras. https://arxiv.org/abs/2506.12398

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