实现一致递归子群
Realizing uniformly recurrent subgroups
摘要：
证明了局部紧群的每个一致递归子群是紧空间上极小作用的稳定子族。更一般地，Chabauty空间的每个闭不变子集是紧空间上作用的稳定子族，在该紧空间上稳定子映射处处连续。这回答了一个问题的Barnner和Weiss。我们还引入了相对于一致递归子群的泛极小流的概念，并证明了它的存在性和唯一性。
英文摘要：
We show that every uniformly recurrent subgroup of a locally compact group is the family of stabilizers of a minimal action on a compact space. More generally, every closed invariant subset of the Chabauty space is the family of stabilizers of an action on a compact space on which the stabilizer map is continuous everywhere. This answers a question of Glasner and Weiss. We also introduce the notion of a universal minimal flow relative to a uniformly recurrent subgroup and prove its existence and uniqueness.
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