English

Completions of Leavitt path algebras

Rings and Algebras 2015-04-21 v1

Abstract

We introduce a class of topologies on the Leavitt path algebra L(Γ)L(\Gamma) of a finite directed graph and decompose a graded completion L^(Γ)\widehat{L}(\Gamma) as a direct sum of minimal ideals.

Keywords

Cite

@article{arxiv.1504.05102,
  title  = {Completions of Leavitt path algebras},
  author = {Adel Alahmadi and Hamed Alsulami},
  journal= {arXiv preprint arXiv:1504.05102},
  year   = {2015}
}

Comments

16 pages and 2 figures