Traces on reduced group C*-algebras
classification
🧮 math.OA
math.GR
keywords
groupreducedadmitsalgebraalgebrasamenableanswerscompact
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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.
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