Towards a K-theoretic characterization of graded isomorphisms between Leavitt path algebras
Rings and Algebras
2014-05-05 v4 Operator Algebras
Abstract
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.
Cite
@article{arxiv.1210.3127,
title = {Towards a K-theoretic characterization of graded isomorphisms between Leavitt path algebras},
author = {P. Ara and E. Pardo},
journal= {arXiv preprint arXiv:1210.3127},
year = {2014}
}
Comments
Final version, to appear in Journal of K-Theory. arXiv admin note: text overlap with arXiv:0802.1198 by other authors