Guillaume Dumas

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20242026

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math.GR2026

Relative property (T) for uniformly bounded representations

Guillaume Dumas, Ignacio Vergara

For pairs $(G, H)$ , where $G$ is a locally compact group and $H$ is a closed subgroup of $G$ , we introduce analogous versions of the full group $C^{*}$ -algebra and the Fourie…

math.GR2026

On free components of Artin and Coxeter groups

Guillaume Dumas, Jingyin Huang, Srivatsav Kunnawalkam Elayavalli +1

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 fa…

math.GR2025

Cartan motion groups: regularity of K-finite matrix coefficients

Guillaume Dumas

If $G$ is a connected semisimple Lie group with finite center and $K$ is a maximal compact subgroup of G, then the Lie algebra of $G$ admits a Cartan decomposition $\mathfrak{g}=\m…

math.GR2024

Regularity of K-finite matrix coefficients of semisimple Lie groups

Guillaume Dumas

We consider $G$ a semisimple Lie group with finite center and $K$ a maximal compact subgroup of $G$ . We study the regularity of $K$ -finite matrix coefficients of unitary representa…