Traces on reduced group C*-algebras (1706.05903v1)

Published 19 Jun 2017 in math.OA and math.GR

Abstract: In this short note we prove that the reduced group C*-algebra of a locally compact group admits a non-zero trace if and only if the amenable radical of the group is open. This completely answers a question raised by Forrest, Spronk and Wiersma.