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Determine whether the center of a $C^*$-algebra is 0

Let $G$ be a locally compact group and $A$ be a non-unital $C^*$-algebra. The space of all continous functions from $G$ to $A$ with compact support is denoted by $C_c(G, A)$.

I wonder whether there exist some propositions to determine when the center of $C_c(G,A)$ is 0?

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