I. Vergara

activity

20242026

collaborators

4 papers

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 $I ¨ $ suc…

math.GR2025

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.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

Property $(TTT)$ and the Cowling--Haagerup constant

Ignacio Vergara

We show that Property $(TTT)$ is an obstruction to weak amenability with Cowling--Haagerup constant $1$ . More precisely, if $G$ is a countable group and $H$ is an infinite…

L1​ Actions and Embeddings of Property A Spaces

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

Some remarks on Md​-multipliers and approximation properties

Property (TTT) and the Cowling--Haagerup constant

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

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

Property $(TTT)$ and the Cowling--Haagerup constant