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.
Bibliographical notePublisher Copyright:
© 2019 by the author. Licensee MDPI, Basel, Switzerland.
- Continuous orbit equivalence
- Inverse semigroup
- Self-similar graph action