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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.
Jeremy Luterbacher, Stefania Bertella, Songlan Sun, Anastasiia Komarova
Jeremy Luterbacher, Stefania Bertella, Songlan Sun, Anastasiia Komarova