C$^*$-algebras of Fell bundles over \'etale groupoids

Rohit Dilip Holkar; Md Amir Hossain

C$^*$-algebras of Fell bundles over \'etale groupoids

Operator Algebras 2023-09-26 v1

Authors: Rohit Dilip Holkar , Md Amir Hossain

Abstract

We describe a construction for the full C $^*$ -algebra of a possibly unsaturated Fell bundle over a possibly non-Hausdorff locally compact \'etale groupoid without appealing to Renault's disintegration theorem. This construction generalises the standard construction given by Muhly and Williams.

Keywords

C*-algebra Fell bundle étale groupoid full C*-algebra non-Hausdorff locally compact groupoid

Cite

@article{arxiv.2309.14018,
  title  = {C$^*$-algebras of Fell bundles over \'etale groupoids},
  author = {Rohit Dilip Holkar and Md Amir Hossain},
  journal= {arXiv preprint arXiv:2309.14018},
  year   = {2023}
}

Comments

15 pages. Initial version, comments are welcome

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