Conjugacy of local homeomorphisms via groupoids and C*-algebras

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Standard

Conjugacy of local homeomorphisms via groupoids and C*-algebras. / Armstrong, Becky; Brix, Kevin Aguyar; Carlsen, Toke Meier; Eilers, Søren.

I: Ergodic Theory and Dynamical Systems, Bind 43, Nr. 8, 2023, s. 2516–2537.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Armstrong, B, Brix, KA, Carlsen, TM & Eilers, S 2023, 'Conjugacy of local homeomorphisms via groupoids and C*-algebras', Ergodic Theory and Dynamical Systems, bind 43, nr. 8, s. 2516–2537. https://doi.org/10.1017/etds.2022.50

APA

Armstrong, B., Brix, K. A., Carlsen, T. M., & Eilers, S. (2023). Conjugacy of local homeomorphisms via groupoids and C*-algebras. Ergodic Theory and Dynamical Systems, 43(8), 2516–2537. https://doi.org/10.1017/etds.2022.50

Vancouver

Armstrong B, Brix KA, Carlsen TM, Eilers S. Conjugacy of local homeomorphisms via groupoids and C*-algebras. Ergodic Theory and Dynamical Systems. 2023;43(8):2516–2537. https://doi.org/10.1017/etds.2022.50

Author

Armstrong, Becky ; Brix, Kevin Aguyar ; Carlsen, Toke Meier ; Eilers, Søren. / Conjugacy of local homeomorphisms via groupoids and C*-algebras. I: Ergodic Theory and Dynamical Systems. 2023 ; Bind 43, Nr. 8. s. 2516–2537.

Bibtex

@article{09c17d5341cd470ea49afa0b3b7c9e1d,
title = "Conjugacy of local homeomorphisms via groupoids and C*-algebras",
abstract = "We investigate dynamical systems consisting of a locally compact Hausdorff space equipped with a partially defined local homeomorphism. Important examples of such systems include self-covering maps, one-sided shifts of finite type and, more generally, the boundary-path spaces of directed and topological graphs. We characterize the topological conjugacy of these systems in terms of isomorphisms of their associated groupoids and C*-algebras. This significantly generalizes recent work of Matsumoto and of the second- and third-named authors.",
keywords = "conjugacy, local homeomorphism, Deaconu-Renault system, groupoid, C*-algebra, TOPOLOGICAL ORBIT EQUIVALENCE, GRAPH ALGEBRAS, MARKOV SHIFTS, FLOW EQUIVALENCE, DIMENSION, SUBSHIFTS",
author = "Becky Armstrong and Brix, {Kevin Aguyar} and Carlsen, {Toke Meier} and S{\o}ren Eilers",
year = "2023",
doi = "10.1017/etds.2022.50",
language = "English",
volume = "43",
pages = "2516–2537",
journal = "Ergodic Theory and Dynamical Systems",
issn = "0143-3857",
publisher = "Cambridge University Press",
number = "8",

}

RIS

TY - JOUR

T1 - Conjugacy of local homeomorphisms via groupoids and C*-algebras

AU - Armstrong, Becky

AU - Brix, Kevin Aguyar

AU - Carlsen, Toke Meier

AU - Eilers, Søren

PY - 2023

Y1 - 2023

N2 - We investigate dynamical systems consisting of a locally compact Hausdorff space equipped with a partially defined local homeomorphism. Important examples of such systems include self-covering maps, one-sided shifts of finite type and, more generally, the boundary-path spaces of directed and topological graphs. We characterize the topological conjugacy of these systems in terms of isomorphisms of their associated groupoids and C*-algebras. This significantly generalizes recent work of Matsumoto and of the second- and third-named authors.

AB - We investigate dynamical systems consisting of a locally compact Hausdorff space equipped with a partially defined local homeomorphism. Important examples of such systems include self-covering maps, one-sided shifts of finite type and, more generally, the boundary-path spaces of directed and topological graphs. We characterize the topological conjugacy of these systems in terms of isomorphisms of their associated groupoids and C*-algebras. This significantly generalizes recent work of Matsumoto and of the second- and third-named authors.

KW - conjugacy

KW - local homeomorphism

KW - Deaconu-Renault system

KW - groupoid

KW - C-algebra

KW - TOPOLOGICAL ORBIT EQUIVALENCE

KW - GRAPH ALGEBRAS

KW - MARKOV SHIFTS

KW - FLOW EQUIVALENCE

KW - DIMENSION

KW - SUBSHIFTS

U2 - 10.1017/etds.2022.50

DO - 10.1017/etds.2022.50

M3 - Journal article

VL - 43

SP - 2516

EP - 2537

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

SN - 0143-3857

IS - 8

ER -

ID: 343215111