Timeline for Do projections in an $AW^\ast$-algebra form an orthomodular lattice?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 2 at 18:55 | vote | accept | David Gao | ||
| Oct 2 at 18:36 | comment | added | Onur Oktay | The readers of this post may find this article interesting & somewhat related, so I'm just dropping the link here doi.org/10.1016/j.jmaa.2014.02.041 | |
| Oct 2 at 14:40 | comment | added | Jordi | Actually, an orthocomplemented poset | |
| Oct 2 at 14:05 | answer | added | Jordi | timeline score: 3 | |
| Oct 2 at 13:17 | comment | added | Jordi | But the projections do always form an orthocomplemented poset (this is for instance stated in Proposition 3.3 here math.nmsu.edu/people/personal-pages/files/…, I cannot find a better reference now). | |
| Oct 2 at 12:43 | comment | added | Jordi | It seems that there are unital C*-algebra whose projections do not form a lattice (see mathoverflow.net/questions/86370/… and [mathoverflow.net/questions/172073/…). | |
| Oct 2 at 0:11 | history | asked | David Gao | CC BY-SA 4.0 |