English

Uniqueness Theorems for Twisted Steinberg Algebras

Rings and Algebras 2026-05-13 v1

Abstract

Given an ample Hausdorff groupoid GG, a unital commutative ring RR, and a discrete twist (Σ,i,q)(\Sigma,i,q), we establish a generalised uniqueness theorem for the twisted Steinberg algebra AR(G;Σ)A_R(G;\Sigma). By applying this theorem when GG is effective, we establish a Cuntz-Krieger uniqueness theorem as a corollary. We also prove a generalised graded uniqueness theorem for AR(G;Σ)A_R(G;\Sigma).

Keywords

Cite

@article{arxiv.2605.11566,
  title  = {Uniqueness Theorems for Twisted Steinberg Algebras},
  author = {Rizalyn S. Bongcawel and Lyster Rey B. Cabardo and Lisa O. Clark},
  journal= {arXiv preprint arXiv:2605.11566},
  year   = {2026}
}

Comments

10 pages

R2 v1 2026-07-22T07:06:38.861Z