Continuous orbit equivalences on self-similar groups

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)133-146
Number of pages14
JournalBulletin of the Korean Mathematical Society
Volume58
Issue number1
DOIs
StatePublished - 2021

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