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Continuous Orbit Equivalence on Self-Similar Graph Actions

Inhyeop Yi
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Inhyeop Yi: Department of Mathematics Education, Ewha Womans University, Seoul 03760, Korea

Mathematics, 2019, vol. 7, issue 10, 1-11

Abstract: For self-similar graph actions, we show that isomorphic inverse semigroups associated to a self-similar graph action are a complete invariant for the continuous orbit equivalence of inverse semigroup actions on infinite path spaces.

Keywords: self-similar graph action; continuous orbit equivalence; inverse semigroup (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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