Timeline for How does the $C^\ast$ algebra of an orbifold grupoid relate to the corresponding orbifold?
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| Mar 6, 2023 at 18:07 | comment | added | ARA | I encountered this question right now, maybe of interest to see the paper ``Noncommutative geometry and diffeology: The case of orbifolds'' by Iglesias-Zemmour & Laffineur. | |
| Mar 5, 2019 at 13:05 | comment | added | Benjamin Steinberg | Im not the right person to give an answer on this but groupoid C*-algebra is determined up to Morita equivalence by the Morita equivalence class of the groupoid by the results of Muhly, Renault and Williams. | |
| Mar 5, 2019 at 10:56 | comment | added | David Roberts♦ | You should think of an orbifold as a coarse reflection of the true object, which is the Lie groupoid. Even the Lie groupoid is a rigid presentation of the really true object, which is a differentiable stack. Anything you construct from a Lie groupoid that is invariant up to equivalence/isomorphism under Morita equivalence is intrinsically attached to the stack, and hence the orbifold. | |
| Mar 5, 2019 at 10:47 | history | asked | Miguel Moreira | CC BY-SA 4.0 |