有色Neretin基团
Coloured Neretin Groups
摘要：
给出了树几乎自同构群的子群同构于Matui意义下单侧移位的拓扑完全群的充分条件。作为应用，我们证明了由Burger和Mozes构造的泛群得到的树的几乎自同构群是紧生成的，并且几乎是简单的。此外，使用的方法Bader，Caprace，Gelander和Mozes，我们表明，这些几乎自同构群中的一些没有任何格。
英文摘要：
We give sufficient conditions for a subgroup of a tree almost automorphism group to be isomorphic to the topological full groups of a one-sided shift in the sense of Matui. As an application, we show that almost automorphism groups of trees obtained from universal groups constructed by Burger and Mozes are compactly generated and virtually simple. In addition, using the approach of Bader, Caprace, Gelander and Mozes we show that some of these almost automorphism groups do not have any lattice.
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。
