Timeline for Families of representations of von Neumann algebras
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 7, 2023 at 12:21 | comment | added | Narutaka OZAWA | Delete the part "$K\subset$". | |
| Oct 7, 2023 at 12:12 | comment | added | Narutaka OZAWA | @Matthias Ludewig: I wasn't active recently. In any case, it was not $|\xi|$ but $\|\xi|\otimes\delta_0$. Because $\xi$ and $|\xi|\otimes\delta_0$ are unit vectors in $K\subset L^2(A)\otimes\ell_2$, $\xi=v(|\xi|\otimes\delta_0)$ implies $v^*\xi=|\xi|\otimes\delta_0$ (which also follows from the definition). The answer is edited now. | |
| Oct 7, 2023 at 12:06 | history | edited | Narutaka OZAWA | CC BY-SA 4.0 |
typo fixed
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| Sep 22, 2023 at 15:15 | comment | added | Matthias Ludewig | Hi, going back to understanding the proof of the lemma in more detail, I wondered the following: How do you get the existence of these partial isometries $v$ and $w$? And what exactly are the properties that you would like? Should they satisfy $v^*v = w^*w = 1$? | |
| Jan 17, 2022 at 17:59 | comment | added | Matthias Ludewig | Thank you for this great answer! | |
| Jan 17, 2022 at 15:57 | vote | accept | Matthias Ludewig | ||
| Jan 14, 2022 at 8:55 | history | edited | Matthias Ludewig | CC BY-SA 4.0 |
edited body
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| Jan 14, 2022 at 1:49 | history | answered | Narutaka OZAWA | CC BY-SA 4.0 |