Timeline for center of a $C^*$-algebra
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 12, 2019 at 15:59 | comment | added | Nik Weaver | Oh, I see. I guess all my examples were unital. | |
| Jan 12, 2019 at 15:52 | history | edited | Yemon Choi | CC BY-SA 4.0 |
correction made as per MW's comment
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| Jan 12, 2019 at 15:51 | comment | added | Yemon Choi | Thanks Mateusz. @NikWeaver: the OP wants $Z(A)=0$ not $\dim Z(A)=1$ | |
| Jan 12, 2019 at 15:03 | comment | added | Nik Weaver | Or just $A = M_n$ ... | |
| Jan 12, 2019 at 15:03 | comment | added | Nik Weaver | Also, the reduced group C*-algebra of any discrete group always has a tracial state. | |
| Jan 12, 2019 at 14:56 | comment | added | Nik Weaver | Irrational rotation algebras (quantum tori) are another example. | |
| Jan 12, 2019 at 14:46 | comment | added | Mateusz Wasilewski | Nice answer. But the statement that $\mathcal{T}_0$ consists of Toeplitz operators whose symbol vanishes at $1$; you need to throw in the compact perturbations or allow products. | |
| Jan 12, 2019 at 13:26 | history | answered | Yemon Choi | CC BY-SA 4.0 |