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

Access to Document

10.3390/MATH7100990

Cite this

@article{6ac5e8b5100847ccb92d05ce4f1f4dcc,

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",

issn = "2227-7390",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "10",

}

TY - JOUR

T1 - Continuous orbit equivalence on self-similar graph actions

AU - Yi, Inhyeop

PY - 2019/10

Y1 - 2019/10

N2 - 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.

AB - 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.

KW - Continuous orbit equivalence

KW - Inverse semigroup

KW - Self-similar graph action

UR - https://www.scopus.com/pages/publications/85116055255

U2 - 10.3390/MATH7100990

DO - 10.3390/MATH7100990

M3 - Article

AN - SCOPUS:85116055255

SN - 2227-7390

VL - 7

JO - Mathematics

JF - Mathematics

IS - 10

M1 - 990

ER -

Continuous orbit equivalence on self-similar graph actions

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this