Mamoon Ahmed
Princess Sumaya University for Technology, Ahman, Jordan

Let $(G,P)$ be a quasi-lattice ordered group. In \cite{two}, the author took a different approach, avoiding crossed-products. He constructed a universal covariant representation of $(G,P)$ using direct sums of covariant representations. In this paper, we show that amenability of $(G,P)$ can be established by showing the existence of a positive, faithful, linear map of $C^{*}(G,P)$ onto a certain subalgebra of $C^{*}(G,P)$.