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- W4306295097 abstract "Given a Fell bundle $mathscr Coverset{q}{to}Xi$ over the discrete groupoid $Xi$, we study the symmetry of the associated Hahn algebra $ell^{infty,1}(Xi!mid!mathscr C)$ in terms of the isotropy subgroups of $Xi$. We prove that $Xi$ is symmetric (resp. hypersymmetric) if and only if all of the isotropy subgroups are symmetric (resp. hypersymmetric). We also characterize hypersymmetry using Fell bundles with constant fibers, showing that for discrete groupoids, 'hypersymmetry' equals 'rigid symmetry'." @default.
- W4306295097 created "2022-10-15" @default.
- W4306295097 creator A5009394724 @default.
- W4306295097 date "2022-10-12" @default.
- W4306295097 modified "2023-10-16" @default.
- W4306295097 title "A criterion for hypersymmetry on discrete groupoids" @default.
- W4306295097 doi "https://doi.org/10.48550/arxiv.2210.06660" @default.
- W4306295097 hasPublicationYear "2022" @default.
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