A twist over a minimal \'etale groupoid that is topologically nontrivial over the interior of the isotropy

We present an example of a twist over a minimal Hausdorff \'etale groupoid such that the restriction of the twist to the interior of the isotropy is not topologically trivial; that is, the restricted twist is not induced by a continuous 2-cocycle.

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Bibliographic Details
Main Authors Armstrong, Becky, Ng, Abraham C. S, Sims, Aidan, Zhou, Yumiao
Format Journal Article
LanguageEnglish
Published 14.12.2023
Subjects
Mathematics - Operator Algebras
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Summary:We present an example of a twist over a minimal Hausdorff \'etale groupoid such that the restriction of the twist to the interior of the isotropy is not topologically trivial; that is, the restricted twist is not induced by a continuous 2-cocycle.
DOI:10.48550/arxiv.2312.08683