Timeline for Is a compact set of extreme points contained in a compact face?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 6, 2023 at 3:13 | comment | added | Sean | Hi David, this is actually essentially the fact that I would hope to extend to non-commutative geometry under the same intuition. | |
| Oct 6, 2023 at 3:01 | vote | accept | Sean | ||
| Oct 5, 2023 at 5:49 | comment | added | David Gao | This is true for commutative $C^*$-algebras, in which case a compact set of extreme points corresponds to a compact subset of the spectrum, so it is contained in a compact face of the state space, namely all Radon probability measures supported on the said compact subset of the spectrum. | |
| Oct 5, 2023 at 5:01 | answer | added | Nik Weaver | timeline score: 4 | |
| Oct 5, 2023 at 2:08 | history | asked | Sean | CC BY-SA 4.0 |