Continuous orbit equivalence on self-similar graph actions

Inhyeop Yi

doi:10.3390/MATH7100990

Continuous orbit equivalence on self-similar graph actions

Inhyeop Yi

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	990
Journal	Mathematics
Volume	7
Issue number	10
DOIs	https://doi.org/10.3390/MATH7100990
State	Published - Oct 2019

Bibliographical note

Publisher Copyright:
© 2019 by the author. Licensee MDPI, Basel, Switzerland.

Keywords

Continuous orbit equivalence
Inverse semigroup
Self-similar graph action

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10.3390/MATH7100990

Cite this

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title = "Continuous orbit equivalence on self-similar graph actions",

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 = "Continuous orbit equivalence, Inverse semigroup, Self-similar graph action",

author = "Inhyeop Yi",

note = "Publisher Copyright: {\textcopyright} 2019 by the author. Licensee MDPI, Basel, Switzerland.",

year = "2019",

month = oct,

doi = "10.3390/MATH7100990",

language = "English",

volume = "7",

journal = "Mathematics",

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KW - Continuous orbit equivalence

KW - Inverse semigroup

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Continuous orbit equivalence on self-similar graph actions

Abstract

Bibliographical note

Keywords

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