Continuous orbit equivalences on self-similar groups
- 등재 SCIE, SCOPUS, KCI등재
- 발행기관 Korean Mathematical Society
- 발행년도 2021
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000175723
- 본문언어 영어
- Published As http://dx.doi.org/10.4134/BKMS.b200055
- 저작권 이화여자대학교 논문은 저작권에 의해 보호받습니다.
초록/요약
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. © 2021 Korean Mathematical Society.
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