Timeline for $C^*$-algebras appearance in study of Lie groupoids and differentiable stacks
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 2, 2020 at 14:38 | vote | accept | Praphulla Koushik | ||
| Mar 2, 2020 at 14:38 | history | bounty ended | Praphulla Koushik | ||
| Feb 26, 2020 at 1:00 | vote | accept | Praphulla Koushik | ||
| Mar 2, 2020 at 14:38 | |||||
| Feb 26, 2020 at 1:00 | comment | added | Praphulla Koushik | I have seen the paper Orbifolds as groupoids multiple times and now also I looked at it; it does not contain anything about C^*-algebras. Was it for some other purpose you suggested that paper :O Thanks for the Nigel Higson's lecture notes.. I will read and ask if I have any further questions :) | |
| Feb 26, 2020 at 0:51 | comment | added | Praphulla Koushik | Your comment about associating a $C^*$-algebra for an arbitrary Lie groupoid is almost clear.. I just need to read it for some more times.. I knew what it means to say a Haar measure on a (LC)topological group and knew that upto (mul.constant) there exists unique (left) measure on a Lie group... I have not seen the notion of Haar measure on Lie groupoid.. I will read about that :) | |
| Feb 26, 2020 at 0:42 | comment | added | Praphulla Koushik | Sir, thanks for the response.. I understand the first point... For the second point, I only know group ring/algebra of a discrete group... The corresponding definition for Lie group is interesting :) I will read more about it... Yes, it makes perfect sense that how we associate $C^*$-algebras for manifolds seen as Lie groupoids and Lie groups seen as Lie groupoids.. :) | |
| Feb 25, 2020 at 18:58 | history | answered | Nicola Ciccoli | CC BY-SA 4.0 |