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arXiv · 1410.3017

On twisted group C$^*$-algebras associated with FC-hypercentral groups and other related groups

Erik Bedos·Tron Omland
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Abstract

We show that the twisted group C$^*$-algebra associated with a discrete FC-hypercentral group is simple (resp. has a unique tracial state) if and only if Kleppner's condition is satisfied. This generalizes a result of J. Packer for countable nilpotent groups. We also consider a larger class of groups, for which we can show that the corresponding reduced twisted group C$^*$-algebras have a unique tracial state if and only if Kleppner's condition holds.

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BibTeXRIS

Erik Bedos, Tron Omland. 2014-10-11. On twisted group C$^*$-algebras associated with FC-hypercentral groups and other related groups. https://doi.org/10.1017/etds.2015.9

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