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Methods Funct. Anal. Topology 15 (2009), no. 3, 259-263
Let $G$ be a locally compact group and let $\omega$ be a weight function on $G$. In this paper, among other things, we show that the Beurling algebra $L^1(G,\omega)$ is super-amenable if and only if $G$ is finite and it is biprojective if and only if $G$ is compact.