摘要

Given an ample, Hausdorff groupoid G, and a unital commutative ring R, we consider the Steinberg algebra A(R)(G). First we prove a uniqueness theorem for this algebra and then, when G is graded by a cocycle, we study graded ideals in A(R)(G). Applications are given for two classes of ample groupoids, namely those coming from actions of groups on graphs, and also to groupoids defined in terms of Boolean dynamical systems.

  • 出版日期2018-5