Veech's Theorem of $G$ acting freely on $G^{\text{LUC}}$ and Structure Theorem of a.a. flows

Xiongping Dai, Hailan Liang, Zhengyu Yin

Veech's Theorem claims that if $G$ is a locally compact\,(LC) Hausdorff topological group, then it may act freely on $G^{\text{LUC}}$. We prove Veech's Theorem for $G$ being only…