Timeline for Weak center is same as center for $C^{\ast}$-Algebra?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 17, 2020 at 11:50 | vote | accept | Math Lover | ||
| Jun 13, 2020 at 17:51 | comment | added | Math Lover | The definition of center which was suggested in the question I linked above in comment is motivated by definition of commutativity only. At first look, it seems like a good definition but as turned out that it doesn’t coincide with usual definition of commutativity for $C^{\ast}$-algebra. I can’t really think of any other definition for center as of now. | |
| Jun 13, 2020 at 17:38 | comment | added | Nik Weaver | Okay. I'd think that really understanding the definition of commutativity should give some clues. | |
| Jun 13, 2020 at 17:18 | comment | added | Math Lover | I searched in literature, I found the definition of commutativity Of TRO but I didn’t found the definition of center anywhere. In case you come up with something, please do comment on the question I have linked in above comment. | |
| Jun 13, 2020 at 17:11 | comment | added | Nik Weaver | Oh, you can't do that, never mind. Not sure how a definition could go, then. | |
| Jun 13, 2020 at 17:04 | comment | added | Nik Weaver | I know very little about TROs, but it seems reasonable that there should be a good definition of center for them. My first guess would be $\{z: abz^*c = az^*bc$ for all $a,b,c\}$? | |
| Jun 13, 2020 at 14:26 | comment | added | Math Lover | Thank you. Actually I was trying to define Center for TRO and this definition what I called weak center was suggested here: mathoverflow.net/questions/362862/…. Do you know any definition of center for TROs? | |
| Jun 13, 2020 at 14:12 | history | answered | Nik Weaver | CC BY-SA 4.0 |