论文标题

拓扑马尔可夫移动的共同学组,连续的完整组和连续的轨道等效性

Cohomology groups, continuous full groups and continuous orbit equivalence of topological Markov shifts

论文作者

Matsumoto, Kengo

论文摘要

我们将研究多个连续完整组的亚组,由单方面的拓扑马尔可夫从偏移空间的完整小组作用的共同体学组的观点转移。我们还根据连续完整组的这些亚组和共同体学组的这些亚组研究了连续的轨道等效性和强烈连续的轨道等效性。

We will study several subgroups of continuous full groups of one-sided topological Markov shifts from the view points of cohomology groups of full group actions on the shift spaces. We also study continuous orbit equivalence and strongly continuous orbit equivalence in terms of these subgroups of the continuous full groups and the cohomology groups.

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