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Operator Algebra and Noncommutative Geometry Seminar Series
June 27, 2019 @ 3:30 pm - 4:30 pm
Professor Enrique Pardo (Universidad de Cádiz)
A generalised uniqueness theorem and the graded ideal structure of Steinberg algebras.
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. This is a joint work with Lisa Orloff Clark (Victoria University of Wellington, New Zealand) and Ruy Exel (Universidade Federal de Santa Catarina, Brazil), published in Forum Mathematicum.