Geometric classification of isomorphism of unital graph C∗-algebras

Sara E. Arklint; Søren Eilers; Efren Ruiz

Geometric classification of isomorphism of unital graph C^∗-algebras

Sara E. Arklint, Søren Eilers, Efren Ruiz

Department of Mathematical Sciences

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Abstract

We geometrically describe the relation induced on a set of graphs by isomorphism of their associated graph c^∗-algebras as the smallest equivalence relation generated by five types of moves. The graphs studied have finitely many vertices and finitely or countably infinitely many edges, corresponding to unital and separable c^∗-algebras.

Original language	English
Journal	New York Journal of Mathematics
Volume	28
Pages (from-to)	927-957
ISSN	1076-9803
Publication status	Published - 2022

Bibliographical note

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© 2022, University at Albany. All rights reserved.

Keywords

C-algebra
graph algebra
k-theory

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Cite this

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KW - k-theory

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