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. / 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
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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