Remark 12.3.16.label For a group $G$, let $\lam$ be left regular represention on $\el^{2}(G)$, $L(G)$ the SOT closure of the the linear space of $\lam$ in $B(\el^{2}(G))$ then $L(G)$ commutes with $R(G)$ and $L(G)=R(G)'$.

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