Timeline for On standard form of corners
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 24, 2019 at 12:25 | review | Close votes | |||
| Oct 13, 2019 at 3:05 | |||||
| Sep 24, 2019 at 12:07 | comment | added | Yemon Choi | I'm voting to close this question since the OP seems not to have engaged with the hints in the comments, and has been asking a series of small questions without signs of progressing to working things out themselves | |
| Aug 13, 2019 at 7:54 | comment | added | user136400 | @Dimitri obviously P and Q are projections that's why they are said to be corner. | |
| Aug 13, 2019 at 5:20 | comment | added | Yemon Choi | OK, if you say you don't know whether PJP will work, write down the conditions that PJP would have to satisfy in order for it to be a modular conjugation, and then tells us where you get stuck | |
| Aug 12, 2019 at 14:42 | comment | added | Dmitri Pavlov | Is P an arbitrary element of M, as claimed? Or perhaps it is meant to be a projection, or a central projection? If P is an arbitrary element of M, exactly how is PMP a von Neumann algebra? Same question for Q. | |
| Aug 12, 2019 at 13:15 | comment | added | user136400 | I was thinking of $PJP$ but don't know that will work or not. | |
| Aug 12, 2019 at 13:14 | comment | added | Matthew Daws | Okay. So what is your candidate for the map $J$ on $PL^2$, for example?? | |
| Aug 12, 2019 at 13:11 | comment | added | user136400 | Standard form means there exist $J: L^{2}(M, \tau)\rightarrow L^{2}(M, \tau)$ such that J is the antiunitary, defined on dense set $J(\hat{x})=\hat{x^{*}}$ where $\hat{x}$ is the copy of $M$ in $L^{2}(M,\tau)$ such that the equation $JMJ=M'$ holds, where commutant is taken in $L^{2}(M, \tau)$, $x:\mapsto Jx^{*}J$ is the map from $M$ to $M'$ | |
| Aug 12, 2019 at 12:54 | comment | added | Matthew Daws | What is your definition of a "standard form"? What have you tried to do? For example, for me a "standard form" involves a "modular conjugation" $J$. What is the modular conjugation on $PL^2$ or $QL^2$? | |
| Aug 12, 2019 at 11:02 | history | edited | user136400 | CC BY-SA 4.0 |
added 21 characters in body
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| Aug 12, 2019 at 10:32 | comment | added | YCor | Could you write your last sentence more carefully (don't mind splitting it into two sentences)? | |
| Aug 12, 2019 at 9:25 | history | asked | user136400 | CC BY-SA 4.0 |