关于某些infinite-dimensional团体对Alpenta采取的行动的评论
Remarks on actions on compacta by some infinite-dimensional groups
摘要：
讨论了一致空间的等变紧化和拓扑群的顺从性的一些技巧。特别是，我们给出了一个新的证明，最近的结果由Reynner和Weiss描述的通用最小流的无限对称群${\mathfrak S}_\infty$与标准波兰拓扑，并扩展了Bekka的概念，一个顺从的表示，使之能够推导出不可顺从的Banach-李群$\GL(L_p)$和$\GL(\ell_p)$，$1\leq p <\infty$。
英文摘要：
We discuss some techniques related to equivariant compactifications of uniform spaces and amenability of topological groups. In particular, we give a new proof of a recent result by Glasner and Weiss describing the universal minimal flow of the infinite symmetric group ${\mathfrak S}_\infty$ with the standard Polish topology, and extend Bekka's concept of an amenable representation, enabling one to deduce non-amenability of the Banach--Lie groups $\GL(L_p)$ and $\GL(\ell_p)$, $1\leq p <\infty$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
