Timeline for $C^*$-algebras with non-trivial center
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 3, 2017 at 2:02 | comment | added | user62639 | one of you could write an answer | |
| Feb 28, 2017 at 22:54 | comment | added | Caleb Eckhardt | $Z(A^{**})$ will be non-trivial in almost every situation. Whenever $A$ has two non-unitarily equivalent irreducible representations, $Z(A^{**})$ will be non-trivial. The relevant facts can be found in any C*-algebra book that discusses representations, for example Brown and Ozawa Section 1.4. | |
| Feb 28, 2017 at 18:27 | comment | added | M.González | In which conditions is $C_0(L)$ an ideal in $C_0(L)^{**}$? | |
| Feb 28, 2017 at 17:21 | comment | added | Mateusz Wasilewski | I think that $Z(A^{\ast\ast})$ is nontrivial iff the $C^{\ast}$-algebra $A$ is not simple, i.e. admits a non-trivial closed ideal. | |
| Feb 28, 2017 at 13:07 | comment | added | Francois Ziegler | Group C*-algebras of finite or infinite groups give many examples. | |
| Feb 28, 2017 at 12:34 | history | asked | M.González | CC BY-SA 3.0 |