Timeline for Extending $*$-morphisms to the multiplier algebras
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Nov 3, 2020 at 15:25 | vote | accept | CommunityBot | ||
| Nov 3, 2020 at 11:51 | comment | added | Ruy | This is Proposition 2.5 in Lance's book, but it takes a bit of interpretation. You need to take the Hilbert module $E$ mentioned there to be $E=B$, and then you need to know that $\mathcal L(E)$ is the multiplier algebra of $B$ (actually this is Lance's definition of the multiplier algebra). | |
| Nov 3, 2020 at 10:54 | comment | added | Ulrich Pennig | This is proven if I remember correctly in the book by Lance, "Hilbert $C^*$-modules: A toolkit for operator algebraists". | |
| S Nov 3, 2020 at 8:48 | history | suggested | gmvh |
Added top-level tag
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| Nov 3, 2020 at 8:48 | comment | added | user167952 | @Ruy Do you have a reference? | |
| Nov 3, 2020 at 8:48 | review | Suggested edits | |||
| S Nov 3, 2020 at 8:48 | |||||
| Nov 3, 2020 at 2:41 | answer | added | Nik Weaver | timeline score: 3 | |
| Nov 3, 2020 at 2:25 | comment | added | Ruy | There is a general result that says that you get your extension provided your morphism $\phi:A\to B$ satisfies $\overline{\phi(A)B}=B$. Since this holds in your case, your extension exists. | |
| Nov 2, 2020 at 23:36 | history | asked | user167952 | CC BY-SA 4.0 |