On continuous orbit equivalence rigidity for virtually cyclic group actions

Groups, geometry, and dynamics

article

Yongle Jiang¹ 

[1] Dalian University of Technology

关键词: Cocycle;    continuous orbit equivalence;    rigidity;    infinite dihedral group;    skew product actions;   

DOI  :  10.4171/ggd/709

学科分类：神经科学

来源: European Mathematical Society

【 摘 要 】

We prove that any two continuous minimal (topologically free) actions of the infinite dihedral group on an infinite compact Hausdorff space are continuously orbit equivalent only if they are conjugate. We also show the above fails if we replace the infinite dihedral group by certain other virtually cyclic groups, e.g., the direct product of the integer group with any non-abelian finite simple group.

【 授权许可】

CC BY