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Does there exist a $C^*$ algebra-algebra $A$ such that the center of $A$ is 0$0$ and $A$ also has a tracial state?
I know the fact that the center of $K(H)$$\mathcal{K}(H)$ is 0$0$,but but $K(H)$$\mathcal{K}(H)$ has no tracial states.
Does there exist a $C^*$ algebra $A$ such that the center of $A$ is 0 and $A$ also has a tracial state?
I know the fact that the center of $K(H)$ is 0,but $K(H)$ has no tracial states.
Does there exist a $C^*$-algebra $A$ such that the center of $A$ is $0$ and $A$ also has a tracial state?
I know the fact that the center of $\mathcal{K}(H)$ is $0$, but $\mathcal{K}(H)$ has no tracial states.
