Timeline for Enveloping von Neumann algebra of Clifford algebra
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 12, 2019 at 15:38 | comment | added | Nik Weaver | Any weak* closed ideal of a von Neumann algebra $M$ has the form $pM$ for some central projection $p$. The quotient $M/pM$ is isomorphic to $(1-p)M$. Thus the image of $M$ under any normal (i.e., weak* continuous) $*$-homeomorphism is a von Neumann algebra. | |
| May 12, 2019 at 12:13 | comment | added | Matthias Ludewig | I know that there is a unique map to every von-Neumann completion; but how do you see it is surjective? | |
| May 12, 2019 at 5:51 | comment | added | Nik Weaver | No way! Every von Neumann completion is a quotient of the universal enveloping algebra. It's as far from being a factor as you can get. | |
| May 12, 2019 at 4:00 | history | asked | Matthias Ludewig | CC BY-SA 4.0 |