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Conjugacy of Dynamical Systems on Self-Similar Groups

Title
Conjugacy of Dynamical Systems on Self-Similar Groups
Authors
Yi, Inhyeop
Ewha Authors
이인협
SCOPUS Author ID
이인협scopus
Issue Date
2020
Journal Title
MATHEMATICS
ISSN
2227-7390JCR Link
Citation
MATHEMATICS vol. 8, no. 2
Keywords
self-similar groupeventual conjugacylimit dynamical systemlimit solenoidgroupoid
Publisher
MDPI
Indexed
SCIE; SCOPUS WOS
Document Type
Article
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.
DOI
10.3390/math8020226
Appears in Collections:
사범대학 > 수학교육과 > Journal papers
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