Graded homotopy classification of Leavitt path algebras

Guido Arnone

Graded homotopy classification of Leavitt path algebras

K-Theory and Homology 2023-09-13 v1 Operator Algebras Rings and Algebras

Authors: Guido Arnone

Abstract

We show that the graded Grothendieck group classifies unital Leavitt path algebras of primitive graphs up to graded homotopy equivalence. To this end, we further develop classification techniques for Leavitt path algebras by means of (graded, bivariant) algebraic $K$ -theory.

Keywords

leavitt path algebras graded homotopy equivalence graded grothendieck group algebraic k-theory primitive graphs

Cite

@article{arxiv.2309.06312,
  title  = {Graded homotopy classification of Leavitt path algebras},
  author = {Guido Arnone},
  journal= {arXiv preprint arXiv:2309.06312},
  year   = {2023}
}

Comments

33 pages

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