Amenable groups与具有全不连通的isometry群的Hadamard空间
Amenable groups and Hadamard spaces with a totally disconnected isometry group
摘要：
设$X$是局部紧的Hadamard空间，$G$是全不连通的群，它连续、正常、余紧地作用在$X$上.我们证明了$G$的闭子群是顺从的当且仅当它是（拓扑局部有限的）-由-（虚拟阿贝尔）。我们考虑一组$\bdfine X$，这是一个细化的视觉边界$\bd X$。对于每种$x \in \bdfine X$，稳定剂$G_x$均适用。
英文摘要：
Let $X$ be a locally compact Hadamard space and $G$ be a totally disconnected group acting continuously, properly and cocompactly on $X$. We show that a closed subgroup of $G$ is amenable if and only if it is (topologically locally finite)-by-(virtually abelian). We are led to consider a set $\bdfine X$ which is a refinement of the visual boundary $\bd X$. For each $x \in \bdfine X$, the stabilizer $G_x$ is amenable.
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