Timeline for Derivation of von Neumann algebra which is zero on MASA
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Jan 13, 2011 at 14:39 | comment | added | Kate Juschenko | It is the following: $\delta: M \rightarrow K(H)$ is a derivation of $II_1$-factor and A - MASA, if $\delta|_{A}=0$ then $\delta=0$. (it is contained in the proofs of Popa, JFA 1987). In particular it holds for $H=L^2(M, \tau)$. | |
| Jan 13, 2011 at 14:25 | comment | added | Andreas Thom | What is the precise theorem? Does this hold for $H = L^2(M,\tau)$? | |
| Jan 13, 2011 at 14:21 | vote | accept | Kate Juschenko | ||
| Jan 13, 2011 at 14:21 | comment | added | Kate Juschenko | Thanks, Andreas! In fact, if $\delta$ takes value in compact operators then it is $0$ on the whole $M$. Thanks for the fast clarification! | |
| Jan 13, 2011 at 14:15 | history | edited | Andreas Thom | CC BY-SA 2.5 |
added 7 characters in body
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| Jan 13, 2011 at 14:05 | history | answered | Andreas Thom | CC BY-SA 2.5 |