Timeline for positive maps and bimodules
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 21, 2014 at 8:14 | vote | accept | Edwin Beggs | ||
| May 21, 2014 at 8:14 | comment | added | Simon Henry | This is actually provided by (the non commutative version of) the GNS construction. It works if and only if the map is completely positive. | |
| May 21, 2014 at 7:55 | answer | added | Nico Stammeier | timeline score: 7 | |
| May 21, 2014 at 5:48 | comment | added | Edwin Beggs | I don't necessarily expect composition to be compatible - just about any bimodule would be interesting. | |
| May 20, 2014 at 20:44 | comment | added | Qiaochu Yuan | Presumably you also want composition of positive maps to be compatible with composition of bimodules. I would be surprised if you could do this. Positivity doesn't seem to play an important role (that is, I would be surprised if you could only do this under a positivity assumption), so one can ask an analogous question about linear maps between rings and it might be easier to prove a negative result there. | |
| May 20, 2014 at 20:05 | history | asked | Edwin Beggs | CC BY-SA 3.0 |