Affable equivalence relations and orbit structure of Cantor dynamical systems
Affable equivalence relations and orbit structure of Cantor dynamical systems
复制标题
康托动力系统的友好等价关系和轨道结构
DOI：
10.1017/s014338570300066x
复制
发表时间：
2004
影响因子：
0.9
通讯作者：
T. Giordano
中科院分区：
文献类型：
--
作者：
T. Giordano
我们证明了几个新的结果AF-等价关系，并将这些康托极小系统（即最小的Z-行动）。我们得到的结果是至关重要的研究的拓扑轨道结构的更一般的可数群行动（同胚）康托集，这将是即将发表的论文的主题。在这一切中，Bratteli图及其动力学解释是不可或缺的工具。
We prove several new results about AF-equivalence relations and relate these to Cantor minimal systems (i.e. to minimal Z-actions). The results we obtain turn out to be crucial for the study of the topological orbit structure of more general countable group actions (as homeomorphisms) on Cantor sets, which will be the topic of a forthcoming paper. In all this, Bratteli diagrams and their dynamical interpretation are indispensable tools.