Let $G$ be a locally compact group and $A$ be a non-unital $C^*$-algebra. )$(A,G,\alpha)$ is a $C^*$-dynamical sysytem. The space of all continous functions from $G$ to $A$ with compact support is denoted by $C_c(G, A)$. Suppose $f,g\in C_c(G,A)$. The product of $f$ and $g$ is defined as following:

$fg(t)=\int f(r)\alpha_r(g(r^{-1}t))dr, \forall t\in G$.

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