Timeline for Is a unital $*$-morphism from a unital $C^*$-algebra $A$ to $\operatorname{End}_{\mathbb{C}}(K)$ automatically contractive?
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 6, 2022 at 18:52 | vote | accept | Andromeda | ||
| May 6, 2022 at 18:52 | comment | added | Andromeda | Lovely argument! We can also invoke the more elementary fact that any element in a unital $C^*$-algebra is a finite linear combination of unitaries. Eventually, we get $\|\pi\|\le 1$ for free by general properties of $C^*$-morphisms. | |
| May 6, 2022 at 18:22 | history | answered | Matthew Daws | CC BY-SA 4.0 |