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

Sara Arklint; Søren Eilers; Efren Ruiz

doi:10.1017/etds.2016.141

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

Sara Arklint^*, Søren Eilers, Efren Ruiz

^*Corresponding author for this work

Department of Mathematical Sciences

5 Citations (Scopus)

Abstract

We characterize when there exists a diagonal-preserving -isomorphism between two graph -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 and and show that this is a necessary and sufficient condition for the existence of a diagonal-preserving -isomorphism between the graph -algebras and.

Original language	English
Journal	Ergodic Theory and Dynamical Systems
Volume	38
Pages (from-to)	2401-2421
ISSN	0143-3857
DOIs	https://doi.org/10.1017/etds.2016.141
Publication status	Published - 1 Oct 2018

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10.1017/etds.2016.141

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title = "A dynamical characterization of diagonal-preserving *-isomorphisms of graph C*-algebras",

abstract = "We characterize when there exists a diagonal-preserving -isomorphism between two graph -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 and and show that this is a necessary and sufficient condition for the existence of a diagonal-preserving -isomorphism between the graph -algebras and.",

author = "Sara Arklint and S{\o}ren Eilers and Efren Ruiz",

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

AU - Arklint, Sara

AU - Eilers, Søren

AU - Ruiz, Efren

PY - 2018/10/1

Y1 - 2018/10/1

N2 - We characterize when there exists a diagonal-preserving -isomorphism between two graph -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 and and show that this is a necessary and sufficient condition for the existence of a diagonal-preserving -isomorphism between the graph -algebras and.

AB - We characterize when there exists a diagonal-preserving -isomorphism between two graph -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 and and show that this is a necessary and sufficient condition for the existence of a diagonal-preserving -isomorphism between the graph -algebras and.

U2 - 10.1017/etds.2016.141

DO - 10.1017/etds.2016.141

M3 - Journal article

AN - SCOPUS:85018457211

SN - 0143-3857

VL - 38

SP - 2401

EP - 2421

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

ER -

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

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