On invertible elements in reduced $C^*$-algebras of acylindrically hyperbolic groups
Group Theory
2020-05-21 v3 Functional Analysis
Operator Algebras
Abstract
Let be an acylindrically hyperbolic group. We prove that if has no non-trivial finite normal subgroups, then the set of invertible elements is dense in the reduced -algebra of . The same result is obtained for finite direct products of acylindrically hyperbolic groups.
Keywords
Cite
@article{arxiv.1910.14524,
title = {On invertible elements in reduced $C^*$-algebras of acylindrically hyperbolic groups},
author = {M. Gerasimova and D. Osin},
journal= {arXiv preprint arXiv:1910.14524},
year = {2020}
}