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Towards a K-theoretic characterization of graded isomorphisms between Leavitt path algebras

Published online by Cambridge University Press:  30 June 2014

P. Ara  and
E. Pardo
P. Ara*
Affiliation:
Departament de Matemàtiques, Facultat de Ciències, Edifici C, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain
E. Pardo*
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias, Universidad de Cádiz, Campus de Puerto Real, 11510 Puerto Real (Cádiz), Spain
*
para@mat.uab.cat
enrique.pardo@uca.es
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Abstract

In Hazrat gave a K-theoretic invariant for Leavitt path algebras as graded algebras. Hazrat conjectured that this invariant classifies Leavitt path algebras up to graded isomorphism, and proved the conjecture in some cases. In this paper, we prove that a weak version of the conjecture holds for all finite essential graphs.

Keywords

Leavitt path algebragraph C*-algebragraded algebraK-TheoryPrimary 16D70Secondary 46L55
Type
Research Article
Information
Journal of K-Theory , Volume 14 , Issue 2 , October 2014 , pp. 203 - 245
Copyright
Copyright © ISOPP 2014 

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