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arXiv · 2604.20184

On free components of Artin and Coxeter groups

Guillaume Dumas·Jingyin Huang·Srivatsav Kunnawalkam Elayavalli·Lizzy Teryoshin
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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.

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Guillaume Dumas, Jingyin Huang, Srivatsav Kunnawalkam Elayavalli, Lizzy Teryoshin. 2026-04-22. On free components of Artin and Coxeter groups. https://arxiv.org/abs/2604.20184

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