Geodesic
On continuous orbit equivalence rigidity for virtually cyclic group actions
Yongle Jiang1
1Dalian University of Technology, China
Groups, geometry, and dynamics, Tome 17 (2023) no. 2, pp. 555-576

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DOI

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.
DOI : 10.4171/ggd/709
Classification : 37-XX, 20-XX
Mots-clés : Cocycle, continuous orbit equivalence, rigidity, infinite dihedral group, skew product actions

Yongle Jiang  1

1 Dalian University of Technology, China 
Yongle Jiang. On continuous orbit equivalence rigidity for virtually cyclic group actions. Groups, geometry, and dynamics, Tome 17 (2023) no. 2, pp. 555-576. doi: 10.4171/ggd/709
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     year = {2023},
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     number = {2},
     doi = {10.4171/ggd/709},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/709/}
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