English

Simplicity and chain conditions for ultragraph Leavitt path algebras via partial skew group ring theory

Rings and Algebras 2017-06-14 v2 Operator Algebras

Abstract

We realize Leavitt ultragraph path algebras as partial skew group rings. Using this realization we characterize artinian ultragraph path algebras and give simplicity criteria for these algebras.

Keywords

Cite

@article{arxiv.1706.03628,
  title  = {Simplicity and chain conditions for ultragraph Leavitt path algebras via partial skew group ring theory},
  author = {Daniel Gonçalves and Danilo Royer},
  journal= {arXiv preprint arXiv:1706.03628},
  year   = {2017}
}