论文标题
财产FW和一维分段组
Property FW and 1-dimensional piecewise groups
论文作者
论文摘要
财产FW是对Kazhdan财产T的自然组合削弱。我们证明，真实投影线的分段均应自我转换组具有“很少”的“无限”亚组，并具有属性FW。特别是，这种亚组不适合或具有Kazhdan的性质T。这些结果是从更长的纸中提取的。我们提供了一个完整的证明，其主要工具是使用部分作用的概念和一维几何结构的使用。
Property FW is a natural combinatorial weakening of Kazhdan's Property T. We prove that the group of piecewise homographic self-transformations of the real projective line, has "few" infinite subgroups with Property FW. In particular, no such subgroup is amenable or has Kazhdan's Property T. These results are extracted from a longer paper. We provide a complete proof, whose main tools are the use of the notion of partial action and of one-dimensional geometric structures.
