Corpus ID: 119732277

Orbit equivalence and classification of weak solenoids.

@article{Hurder2018OrbitEA,
  title={Orbit equivalence and classification of weak solenoids.},
  author={Steven Hurder and Olga Lukina},
  journal={arXiv: Dynamical Systems},
  year={2018}
}
  • Steven Hurder, Olga Lukina
  • Published 2018
  • Mathematics
  • arXiv: Dynamical Systems
  • In this work, we study minimal equicontinuous actions which are locally quasi-analytic. The first main result shows that for minimal equicontinuous actions which are locally quasi-analytic, continuous orbit equivalence of the actions implies return equivalence. This generalizes results of Cortez and Medynets, and of Li. The second main result is that if G is a finitely-generated, virtually nilpotent group, then every minimal equicontinuous action by G is locally quasi-analytic. As an… CONTINUE READING

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