English

Simplicity of finitely-aligned k-graph C*-algebras

Operator Algebras 2008-10-28 v1

Abstract

It is shown that no local periodicity is equivalent to the aperiodicity condition for arbitrary finitely-aligned k-graphs. This allows us to conclude that C*(\Lambda) is simple if and only if \Lambda is cofinal and has no local periodicity.

Keywords

Cite

@article{arxiv.0810.4567,
  title  = {Simplicity of finitely-aligned k-graph C*-algebras},
  author = {Jacob Shotwell},
  journal= {arXiv preprint arXiv:0810.4567},
  year   = {2008}
}

Comments

12 pages

R2 v1 2026-06-21T11:34:47.286Z