2020/03/09 by Clark, Lisa Orloff, Dawson, Ellis, Raeburn, Iain
#FOS: Mathematics #Operator Algebras (math.OA) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2003.04443
We show the reduced C^*-algebra of a graded ample groupoid is a strongly graded C^*-algebra if and only if the corresponding Steinberg algebra is a strongly graded ring. We apply this result to get a theorem about the Leavitt path algebra and C^*-algebra of an arbitrary graph.