Generalised Twisted Groupoids and their C*-algebras

Lisa Orloff Clark; Michael Ó Ceallaigh; Hung Pham

Generalised Twisted Groupoids and their C*-algebras

Operator Algebras 2025-11-14 v3

Authors: Lisa Orloff Clark , Michael Ó Ceallaigh , Hung Pham

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.

Keywords

c*-algebra c*-algebras graph algebras

Cite

@article{arxiv.2506.12398,
  title  = {Generalised Twisted Groupoids and their C*-algebras},
  author = {Lisa Orloff Clark and Michael Ó Ceallaigh and Hung Pham},
  journal= {arXiv preprint arXiv:2506.12398},
  year   = {2025}
}

Comments

This revised version removes the condition that a $\Gamma$-twist need be locally trivial, and the results are updated accordingly. 21 pages

Generalised Twisted Groupoids and their C*-algebras

Abstract

Keywords

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