Timeline for Jordan isomorphisms of type I von Neumann algebras
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 30, 2020 at 17:22 | comment | added | A beginner mathmatician | Alright! I now understand. | |
| Apr 30, 2020 at 15:37 | comment | added | Nik Weaver | Are you just asking for a classification of type I von Neumann algebras? That is achieved through direct integral decomposition. | |
| Apr 30, 2020 at 15:36 | comment | added | Nik Weaver | I can't make any sense of this comment. | |
| Apr 30, 2020 at 15:31 | comment | added | A beginner mathmatician | @ Ni and Choi. Actually, I was looking for a more concrete kind of classification. For example can it be seen to be a von Neumann algebra by gluing concretely known type von Neumann algebras e.g. $B(\mathcal H)$ ($\mathcal H$ is a Hilbert space) etc.? | |
| Apr 30, 2020 at 15:03 | comment | added | Nik Weaver | Yes. And because every type I von Neumann algebra is $*$-isomorphic to its opposite algebra, this means that Jordan isomorphic $\Rightarrow$ $*$-isomorphic, | |
| Apr 30, 2020 at 14:52 | history | answered | Yemon Choi | CC BY-SA 4.0 |