Nuclear Dimension of Twisted $C^*$-Algebras of Virtually Abelian Groups
Operator Algebras
2026-05-28 v1 Group Theory
Representation Theory
Abstract
Let be a finitely generated virtually abelian group and such that is always a root of unity. We show that the nuclear dimension of the twisted group -algebra is equal to the rank of a finite index abelian subgroup of . We also show that if and only if is type I.
Cite
@article{arxiv.2605.27936,
title = {Nuclear Dimension of Twisted $C^*$-Algebras of Virtually Abelian Groups},
author = {Forrest Glebe and Pradyut Karmakar and Iason Moutzouris},
journal= {arXiv preprint arXiv:2605.27936},
year = {2026}
}