Provides the first counterexamples showing algebraic singular functions are not always dense in the ideal of C*-singular functions for certain étale non-Hausdorff groupoids, including a bundle of groups and one from a self-similar action.
Hume, and Xin Li,On Hausdorff covers for non-Hausdorff groupoids (2025), 33 pp., available at2503.23203
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Algebraic singular functions are not always dense in the ideal of $C^*$-singular functions
Provides the first counterexamples showing algebraic singular functions are not always dense in the ideal of C*-singular functions for certain étale non-Hausdorff groupoids, including a bundle of groups and one from a self-similar action.