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Operator Algebra and Noncommutative Geometry Seminar Series

June 27, 2019 @ 3:30 pm - 4:30 pm

Speaker

Professor Enrique Pardo (Universidad de Cádiz​)

Title

A generalised uniqueness theorem and the graded ideal structure of Steinberg algebras.​

Abstract

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.​

Venue

Building 39C Room 174, University of Wollongong
HVVJ+2V
Wollongong, New South Wales 2522 Australia
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