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On dense subalgebras of the singular ideal in groupoid C-algebras
by
Hume, Jeremy B
, Gonzales, Julian
in
Isotropy
2026
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On dense subalgebras of the singular ideal in groupoid C-algebras
by
Hume, Jeremy B
, Gonzales, Julian
in
Isotropy
2026
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On dense subalgebras of the singular ideal in groupoid C-algebras
Paper
On dense subalgebras of the singular ideal in groupoid C-algebras
2026
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Overview
We prove that ideals in amenable second-countable non-Hausdorff étale groupoid \\(C^*\\)-algebras are determined by their isotropy fibres. As an application, we characterise when the singular functions in Connes' algebra are dense in the singular ideal in terms of a property of explicit ideals in the isotropy group \\(C^*\\)-algebras. We then show this density property holds for all \\(C^*\\)-algebras of groupoids with finite-by-nilpotent isotropy groups.
Publisher
Cornell University Library, arXiv.org
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