STRONG ORBIT EQUIVALENCE OF LOCALLY COMPACT CANTOR MINIMAL SYSTEMS
STRONG ORBIT EQUIVALENCE OF LOCALLY COMPACT CANTOR MINIMAL SYSTEMS
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局域紧康托极小系统的强轨道等效性
DOI：
10.1142/s0129167x0100068x
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
A. I. Danilenko
中科院分区：
文献类型：
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作者：
A. I. Danilenko
研究了零维可度量局部紧非紧Hausdorff空间的极小自同胚。对于这类系统，我们证明了有序上同群是强轨道等价的完全不变量，即具有连续轨道共环的拓扑轨道等价。这是Giordano， Putnam和Skau关于紧凑康托系统的一个著名结果的“无限”对应。
We study minimal self-homeomorphisms of zero dimensional metrizable locally compact non-compact Hausdorff spaces. For this class of systems, we show that the ordered cohomology group is a complete invariant for strong orbit equivalence, i.e. topological orbit equivalence with continuous orbit cocycles. This is an "infinite" counterpart of a well known result of Giordano, Putnam and Skau about compact Cantor systems.