English

Classification conjectures for Leavitt path algebras

Rings and Algebras 2024-12-20 v3 K-Theory and Homology Operator Algebras

Abstract

The theory of Leavitt path algebras is intrinsically related, via graphs, to the theory of symbolic dynamics and CC^*-algebras where the major classification programs have been a domain of intense research in the last 50 years. In this survey article, we gather together current lines of research in the classification of Leavitt path algebras, questions, conjectures, and some of the results about them that have been obtained so far.

Keywords

Cite

@article{arxiv.2401.04262,
  title  = {Classification conjectures for Leavitt path algebras},
  author = {Guillermo Cortiñas and Roozbeh Hazrat},
  journal= {arXiv preprint arXiv:2401.04262},
  year   = {2024}
}

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Final version

R2 v1 2026-06-28T14:11:50.190Z