Selfless reduced $C^{*}$-algebras of linear groups
Operator Algebras
2026-02-16 v2 Dynamical Systems
Group Theory
Abstract
It is shown that the reduced C*-algebra of a nontrivial linear group with trivial amenable radical is selfless. Thus selflessness and simplicity coincide for reduced C*-algebras of linear groups. Similar results are obtained for twisted reduced group C*-algebra.
Keywords
Cite
@article{arxiv.2602.10616,
title = {Selfless reduced $C^{*}$-algebras of linear groups},
author = {Itamar Vigdorovich},
journal= {arXiv preprint arXiv:2602.10616},
year = {2026}
}
Comments
correct a typo in one of the main theorems