English

Uniqueness Theorems for Steinberg Algebras

Rings and Algebras 2014-03-20 v1

Abstract

We prove Cuntz-Krieger and graded uniqueness theorems for Steinberg algebras. We also show that a Steinberg algebra is basically simple if and only if its associated groupoid is both effective and minimal. Finally we use results of Steinberg to characterise the center of Steinberg algebras associated to minimal groupoids

Keywords

Cite

@article{arxiv.1403.4684,
  title  = {Uniqueness Theorems for Steinberg Algebras},
  author = {Lisa Orloff Clark and Cain Edie-Michell},
  journal= {arXiv preprint arXiv:1403.4684},
  year   = {2014}
}
R2 v1 2026-06-22T03:29:37.916Z