Conjugacy of Dynamical Systems on Self-Similar Groups
- 주제(키워드) self-similar group , eventual conjugacy , limit dynamical system , limit solenoid , groupoid
- 주제(기타) Mathematics
- 설명문(일반) [Yi, Inhyeop] Ewha Womans Univ, Dept Math Educ, Seoul 03760, South Korea
- 등재 SCIE, SCOPUS
- OA유형 Green Submitted, gold
- 발행기관 MDPI
- 발행년도 2020
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000168824
- 본문언어 영어
- Published As https://dx.doi.org/10.3390/math8020226
초록/요약
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.
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