Conjugacy of Dynamical Systems on Self-Similar Groups

Mathematics

Inhyeop Yi¹ 

[1] Department of Mathematics Education, Ewha Womans University, Seoul 03760, Korea;

关键词: self-similar group;    eventual conjugacy;    limit dynamical system;    limit solenoid;    groupoid;   

DOI  :  10.3390/math8020226

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown