Ignacio Vergara - Publications

Publications

Property (TTT) and the Cowling-Haagerup constant. [Arxiv]
Geometric Property (T) and Kazhdan projections. [Arxiv]
Property (T) for uniformly bounded representations and weak*-continuity of invariant means. [Arxiv]
Almost invariant CND kernels and proper uniformly Lipschitz actions on subspaces of L^1. To appear in Ann. Inst. Fourier (Grenoble). [Arxiv]

Hyperbolicity and uniformly Lipschitz affine actions on subspaces of L^1. Bull. Lond. Math. Soc. 55 (2023), no. 5, 2446-2455. [Journal] [Arxiv]
The Md-approximation property and unitarisability. Proc. Amer. Math. Soc. 151 (2023), no. 3, 1209–1220. [Journal] [Arxiv]
Weak amenability of free products of hyperbolic and amenable groups. Glasg. Math. J. 64 (2022), no. 3, 698–701. [Journal] [Arxiv]
Positive definite radial kernels on homogeneous trees and products. J. Operator Theory 84 (2020) no. 2, 487–519. [Journal] [Arxiv]
Radial Schur multipliers on some generalisations of trees. Studia Math. 249 (2019), no. 1, 59–109. [Journal] [Arxiv]
The p-approximation property for simple Lie groups with finite center. J. Funct. Anal. 273 (2017), no. 11, 3463–3503. [Journal] [Arxiv]
Scalar field equation with non-local diffusion. (with P. Felmer). NoDEA Nonlinear Differential Equations Appl. 22 (2015), no. 5, 1411–1428. [Journal] [Preprint]

An invitation to weak amenability, after Cowling and Haagerup. (2024) [Arxiv]
The Dixmier problem in finite dimension. (2023) [pdf]
The Md-approximation property is stable under extensions. (2023) [pdf]
Property (T) and Kazhdan projections. (2022) [pdf] A proof of the characterisation of Property (T) by the existence of the Kazhdan projection in the full C*-algebra. These notes were written mainly for myself, but I believe they could be useful to anyone trying to understand this proof.
The Haagerup Property and Generalisations. (2022) [pdf] Lecture notes written for a mini-course that never took place. I make them available here in case someone finds them useful/interesting.

Master thesis (M2): Inégalités de Khintchine non commutatives pour 0 < p ≤ 1. (2015) [pdf]