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

P. Ara, E. Pardo

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

Abstract

Copyright © ISOPP 2014. In [16], 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.
Original languageEnglish
Pages (from-to)203-245
JournalJournal of K-Theory
Volume14
Issue number2
DOIs
Publication statusPublished - 1 Jan 2014

Keywords

  • graded algebra
  • graph C-algebra
  • KTheory
  • Leavitt path algebra

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