论文标题

左右花圈产品动作的连续轨道等效刚度

Continuous orbit equivalence rigidity for left-right wreath product actions

论文作者

Jiang, Yongle

论文摘要

Drimbe和Vaes证明了在可衡量的环境中左右花圈产品动作的轨道等效性定理。我们在连续轨道对等的拓扑设置中建立了对应的结果。这为我们提供了最少的,拓扑的无效动作,这些动作是连续的轨道等效性超固体。证明的一种主要成分是在某些广义的完整偏移方面显示连续的共循环超级疏松,从而扩展了我们先前的结果。

Drimbe and Vaes proved an orbit equivalence superrigidity theorem for left-right wreath product actions in the measurable setting. We establish the counterpart result in the topological setting for continuous orbit equivalence. This gives us minimal, topologically free actions that are continuous orbit equivalence superrigid. One main ingredient for the proof is to show continuous cocycle superrigidity for certain generalized full shifts, extending our previous result with Chung.

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