Conjugacy of Dynamical Systems on Self-Similar Groups
by
Inhyeop Yi
Inhyeop Yi
Department of Mathematics Education, Ewha Womans University, Seoul 03760, Korea
Mathematics 2020, 8(2), 226; https://doi.org/10.3390/math8020226
Received: 13 January 2020 / Revised: 6 February 2020 / Accepted: 6 February 2020 / Published: 10 February 2020
(This article belongs to the Special Issue New Trends in Analysis and Geometry)
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.
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
Yi, I. Conjugacy of Dynamical Systems on Self-Similar Groups. Mathematics 2020, 8, 226.
Show more citation formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
