Timeline for Hyperfinite factors and increasing fatorization of states
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Oct 19, 2023 at 15:06 | vote | accept | Lau | ||
| Oct 19, 2023 at 11:23 | history | edited | Stefaan Vaes | CC BY-SA 4.0 |
added 1829 characters in body
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| Oct 19, 2023 at 9:50 | history | edited | Stefaan Vaes | CC BY-SA 4.0 |
When interpreting "hyperfinite" as arbitrary "approximately finite dimensional", the result may fail and this more extensive answer proves this.
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| Oct 19, 2023 at 9:08 | comment | added | Stefaan Vaes | @Lauritz. I see. In my conventions (but not generally agreed upon), hyperfinite means "finite and approximately finite dimensional (AFD)". I will update my answer, because for certain type III factors the property does not hold. | |
| Oct 19, 2023 at 4:54 | comment | added | Lau | Thanks for your answer Stefaan! I'm a bit puzzled by the "unique trace preserving conditional expectation" that you mention. I only understand this if the factor $R$ is also finite. | |
| Oct 18, 2023 at 16:59 | history | answered | Stefaan Vaes | CC BY-SA 4.0 |