Traces on reduced group C*-algebras
Operator Algebras
2017-10-11 v1 Group Theory
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.
Keywords
Cite
@article{arxiv.1706.05903,
title = {Traces on reduced group C*-algebras},
author = {Matthew Kennedy and Sven Raum},
journal= {arXiv preprint arXiv:1706.05903},
year = {2017}
}