Timeline for $*$–homomorphisms of the center of $C^*$-algebras
Current License: CC BY-SA 4.0
4 events
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| Feb 16, 2022 at 0:26 | comment | added | math112358 | Whether there exists some characterization? In Jorgen Vesterstrom's peper " on the homomorphism image of the cebter of a $C^*$-algebra", the author mentions some characterization. But in that theorem, we need to know the concrete center, if we can calculate the center of $A$, how to determine whether $\rho(Z_A)$ is equal to $Z_B$? | |
| Feb 15, 2022 at 23:20 | comment | added | Yemon Choi | I don't quite understand the wording of your question. Are you seeking an explicit example of $A$ and $B$ with a surjective star-homomorphism $\rho:A\to B$ for which $\rho(Z_A)\neq Z_B$? Or are you asking for some kind of characterization? I think I can produce a specific (counter)example, but I don't think there will be any sensible characterization of when the inclusion is strict. | |
| Feb 15, 2022 at 17:06 | history | edited | YCor | CC BY-SA 4.0 |
fixed typo, added tag
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| Feb 15, 2022 at 17:05 | history | asked | math112358 | CC BY-SA 4.0 |