论文标题
不变的随机订单扩展属性等效于舒适性
The invariant random order extension property is equivalent to amenability
论文作者
论文摘要
最近，格拉斯纳（Glasner），林（Lin）和迈耶罗维奇（Meyerovitch）在某个组上给出了一个部分不变顺序的示例，该命令不能不变地扩展到不变的随机总顺序。将其结果作为起点，我们证明，在可数组上的任何不变的随机部分顺序都可以不变地扩展到不变的随机总订单，如果组可正常。
Recently, Glasner, Lin and Meyerovitch gave a first example of a partial invariant order on a certain group that cannot be invariantly extended to an invariant random total order. Using their result as a starting point we prove that any invariant random partial order on a countable group could be invariantly extended to an invariant random total order iff the group is amenable.
