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Proof mistake of: $M_0A(G) = B(G)$ for a locally compact group

I am posting my question of mathstack exchange here. (see: My post on MSE) Let $G$ be a locally compact group with Haar measure $\mu$, and $B(G),A(G),C_r^*(G),L(G)$ be its Fourier-Stieltjes algebra, ...