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CONTINUOUS ORBIT EQUIVALENCES ON SELF-SIMILAR GROUPS

Title
CONTINUOUS ORBIT EQUIVALENCES ON SELF-SIMILAR GROUPS
Authors
Yi, Inhyeop
Ewha Authors
이인협
SCOPUS Author ID
이인협scopus
Issue Date
2021
Journal Title
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
ISSN
1015-8634JCR Link
Citation
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY vol. 58, no. 1, pp. 133 - 146
Keywords
Self-similar groupcontinuous orbit equivalenceinverse semi-groupgroupoid
Publisher
KOREAN MATHEMATICAL SOC
Indexed
SCIE; SCOPUS; KCI WOS scopus
Document Type
Article
Abstract
For pseudo-free and recurrent self-similar groups, we show that continuous orbit equivalence of inverse semigroup partial actions implies continuous orbit equivalence of group actions. Conversely, if group actions are continuous orbit equivalent, and the induced homeomorphism commutes with the shift maps on their groupoids, we obtain continuous orbit equivalence of inverse semigroup partial actions.
DOI
10.4134/BKMS.b200055
Appears in Collections:
사범대학 > 수학교육과 > Journal papers
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