A dynamical characterization of diagonal-preserving *-isomorphisms of graph C*-algebras

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Standard

A dynamical characterization of diagonal-preserving *-isomorphisms of graph C*-algebras. / Arklint, Sara; Eilers, Søren; Ruiz, Efren.

I: Ergodic Theory and Dynamical Systems, Bind 38, 2018, s. 2401-2421.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Arklint, S, Eilers, S & Ruiz, E 2018, 'A dynamical characterization of diagonal-preserving *-isomorphisms of graph C*-algebras', Ergodic Theory and Dynamical Systems, bind 38, s. 2401-2421. https://doi.org/10.1017/etds.2016.141

APA

Arklint, S., Eilers, S., & Ruiz, E. (2018). A dynamical characterization of diagonal-preserving *-isomorphisms of graph C*-algebras. Ergodic Theory and Dynamical Systems, 38, 2401-2421. https://doi.org/10.1017/etds.2016.141

Vancouver

Arklint S, Eilers S, Ruiz E. A dynamical characterization of diagonal-preserving *-isomorphisms of graph C*-algebras. Ergodic Theory and Dynamical Systems. 2018;38:2401-2421. https://doi.org/10.1017/etds.2016.141

Author

Arklint, Sara ; Eilers, Søren ; Ruiz, Efren. / A dynamical characterization of diagonal-preserving *-isomorphisms of graph C*-algebras. I: Ergodic Theory and Dynamical Systems. 2018 ; Bind 38. s. 2401-2421.

Bibtex

@article{755b6f7eb27a4a35bc30a5665363e43e,
title = "A dynamical characterization of diagonal-preserving *-isomorphisms of graph C*-algebras",
abstract = "We characterize when there exists a diagonal-preserving (Formula presented.)-isomorphism between two graph (Formula presented.)-algebras in terms of the dynamics of the boundary path spaces. In particular, we refine the notion of {\textquoteleft}orbit equivalence{\textquoteright} between the boundary path spaces of the directed graphs (Formula presented.) and (Formula presented.) and show that this is a necessary and sufficient condition for the existence of a diagonal-preserving (Formula presented.)-isomorphism between the graph (Formula presented.)-algebras (Formula presented.) and (Formula presented.).",
author = "Sara Arklint and S{\o}ren Eilers and Efren Ruiz",
year = "2018",
doi = "10.1017/etds.2016.141",
language = "English",
volume = "38",
pages = "2401--2421",
journal = "Ergodic Theory and Dynamical Systems",
issn = "0143-3857",
publisher = "Cambridge University Press",

}

RIS

TY - JOUR

T1 - A dynamical characterization of diagonal-preserving *-isomorphisms of graph C*-algebras

AU - Arklint, Sara

AU - Eilers, Søren

AU - Ruiz, Efren

PY - 2018

Y1 - 2018

N2 - We characterize when there exists a diagonal-preserving (Formula presented.)-isomorphism between two graph (Formula presented.)-algebras in terms of the dynamics of the boundary path spaces. In particular, we refine the notion of ‘orbit equivalence’ between the boundary path spaces of the directed graphs (Formula presented.) and (Formula presented.) and show that this is a necessary and sufficient condition for the existence of a diagonal-preserving (Formula presented.)-isomorphism between the graph (Formula presented.)-algebras (Formula presented.) and (Formula presented.).

AB - We characterize when there exists a diagonal-preserving (Formula presented.)-isomorphism between two graph (Formula presented.)-algebras in terms of the dynamics of the boundary path spaces. In particular, we refine the notion of ‘orbit equivalence’ between the boundary path spaces of the directed graphs (Formula presented.) and (Formula presented.) and show that this is a necessary and sufficient condition for the existence of a diagonal-preserving (Formula presented.)-isomorphism between the graph (Formula presented.)-algebras (Formula presented.) and (Formula presented.).

U2 - 10.1017/etds.2016.141

DO - 10.1017/etds.2016.141

M3 - Journal article

AN - SCOPUS:85018457211

VL - 38

SP - 2401

EP - 2421

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

SN - 0143-3857

ER -

ID: 196167075