I. Vergara

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20232026

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7 papers · 1 filter

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

$L_{1}$ Actions and Embeddings of Property A Spaces

Chris Gartland, Ignacio Vergara, Tianyi Zheng

We provide several new characterizations of Property A for bounded degree graphs. In particular, we show that $(X, d)$ has Property A if and only if there is a proper gauge $ω$ such…

math.GR2025

Some remarks on $M_{d}$ -multipliers and approximation properties

Ignacio Vergara

We prove an extension property for $M_{d}$ -multipliers from a subgroup to the ambient group, showing that $M_{d + 1} (G)$ is strictly contained in $M_{d} (G)$ whenever $G$ contains a free…

math.GR2024

Quasi-trees, Lipschitz free spaces, and actions on $ℓ^{1}$

Ignacio Vergara

We show that the Lipschitz free space of a countable simplicial quasi-tree is isomorphic to $ℓ^{1}$ . As a consequence, every finitely generated group with Property (QT) of Bestvin…

math.GR2024

A connection between Lipschitz and Kazhdan constants for groups of homeomorphisms of the real line

Ignacio Vergara

We exhibit an obstruction for groups with Relative Property (T) to act on the real line by bi-Lipschitz homeomorphisms. This condition is expressed in terms of the Lipschitz and Ka…

math.GR2024

An invitation to weak amenability, after Cowling and Haagerup

Ignacio Vergara

We present an introduction to weak amenability for locally compact groups, and a survey of some of the most important results regarding this property.

Relative property (T) for uniformly bounded representations

L1​ Actions and Embeddings of Property A Spaces

Some remarks on Md​-multipliers and approximation properties

Quasi-trees, Lipschitz free spaces, and actions on ℓ1

A connection between Lipschitz and Kazhdan constants for groups of homeomorphisms of the real line

An invitation to weak amenability, after Cowling and Haagerup

$L_{1}$ Actions and Embeddings of Property A Spaces

Some remarks on $M_{d}$ -multipliers and approximation properties

Quasi-trees, Lipschitz free spaces, and actions on $ℓ^{1}$