Timeline for On solvability of equation $D(x)=1$ where $D:A\to A$ is a bounded outer derivation on a $C^*$ algebra
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 21, 2021 at 11:49 | vote | accept | Ali Taghavi | ||
| May 21, 2021 at 10:16 | comment | added | Ali Taghavi | Yes I see The irreducible representation works otherwise the range of idempotent $1_A$ would be $A$-invariant. | |
| May 21, 2021 at 9:39 | comment | added | Mateusz Wasilewski | You can choose the representation to satisfy this. The usual procedure involving the GNS construction works, for example. | |
| May 21, 2021 at 9:05 | comment | added | Ali Taghavi | Thanks for your answer. In this representation is is it obvious that $1_A=1_{B(H)}$? | |
| May 21, 2021 at 8:26 | history | answered | Mateusz Wasilewski | CC BY-SA 4.0 |