Timeline for Proof that every commutative locally compact quantum group arises from a locally compact group
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 4 at 10:10 | comment | added | szantag | Once again this is precisely what I was hoping for - thank you so much! | |
| Jun 4 at 6:05 | comment | added | Stefaan Vaes | @szantag I may misunderstand the question, but I would say that the theory of weights on C*-algebras, and in particular KMS weights on C*-algebras, could be considered as a noncommutative theory of locally compact spaces with a measure on their Borel $\sigma$-algebra. A comprehensive introduction to this theory can be found in arxiv.org/abs/2204.01125 | |
| Jun 3 at 21:27 | comment | added | szantag | Thank you, that was exactly what I was looking for and helped a lot! As a small side question, do you maybe know if there is any theory of 'locally compact measure spaces' without the group structure, so without the Weil theorem in the classical limit? (If I were to guess something involving a von Neumann algebra $L^\infty(\mathbb{X})$ with a weight + some compatible unique C*-algebraic structure) | |
| Jun 3 at 10:21 | vote | accept | szantag | ||
| Jun 1 at 9:11 | history | answered | Stefaan Vaes | CC BY-SA 4.0 |