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Conjugacy of Dynamical Systems on Self-Similar Groups

Author

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  • Inhyeop Yi

    (Department of Mathematics Education, Ewha Womans University, Seoul 03760, Korea)

Abstract

We show that the limits for dynamical systems of self-similar groups are eventually conjugate if, and only if, there is an isomorphism between their Deaconu groupoid preserving cocycles. For limit solenoids of self-similar groups, we show that the conjugacy of limit solenoids is equivalent to existence of isomorphism between the Deaconu groupoids of limit solenoid preserving cocycles.

Suggested Citation

  • Inhyeop Yi, 2020. "Conjugacy of Dynamical Systems on Self-Similar Groups," Mathematics, MDPI, vol. 8(2), pages 1-12, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:226-:d:318724
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