On free components of Artin and Coxeter groups
Group Theory
2026-04-23 v1 Operator Algebras
Abstract
The number of connected components can be remembered by the von Neumann algebra among Artin groups, the only possible exception being the case that corresponds to the free group factor problem. In the case of Coxeter groups, this result is obtained in the absence of relatively hyperbolicity. We also discuss a specific case of the analogous problem in measure equivalence where each factor group is a product of nonabelian free groups.
Cite
@article{arxiv.2604.20184,
title = {On free components of Artin and Coxeter groups},
author = {Guillaume Dumas and Jingyin Huang and Srivatsav Kunnawalkam Elayavalli and Lizzy Teryoshin},
journal= {arXiv preprint arXiv:2604.20184},
year = {2026}
}
Comments
15 pages