Aldo Garcia Guinto

activity

20232026

collaborators

6 papers

math.OA2026

Irreducibility and weak spectral gap in free product von Neumann algebras

Aldo Garcia Guinto, Fehmi Ekin Giritlioglu, Rahul Kumar R. +2

Consider a free product $(M, φ) = (M_{1}, φ_{1}) * (M_{2}, φ_{2})$ of non-trivial von Neumann algebras. Using amalgamated free product techniques, we establish irreducibility and weak spectral…

math.OA2025

On modular invariants of twisted group von Neumann algebras of almost unimodular groups

Aldo Garcia Guinto, Yuki Miyamoto

Given a locally compact second countable group $G$ with a 2-cocycle $ω$ , we show that the restriction of the twisted Plancherel weight $φ_{G}^{ω}$ to the subalgebra generated by a clos…

math.OA2025

Projective representations of almost unimodular groups

Aldo Garcia Guinto

Given an almost unimodular $G$ , so that the Plancherel weight $φ_{G}$ on the group von Neumann algebra $L (G)$ is almost periodic, we show that the basic construction for the inclusio…

math.OA2025

Almost unimodular groups

Aldo Garcia Guinto, Brent Nelson

We show that a locally compact group has open unimodular part if and only if the Plancherel weight on its group von Neumann algebra is almost periodic. We call such groups almost u…

math.OA2024

Murray-von Neumann dimension for strictly semifinite weights

Aldo Garcia Guinto, Matthew Lorentz, Brent Nelson

Given a von Neumann algebra $M$ equipped with a faithful normal strictly semifinite weight $φ$ , we develop a notion of Murray-von Neumann dimension over $(M, φ)$ that is defined for…

math.OA2023

Schreier's Formula for some Free Probability Invariants

Aldo Garcia Guinto

Let $G ↷ α (M, τ)$ be a trace-preserving action of a finite group $G$ on a tracial von Neumann algebra. Suppose that $A \subset M$ is a finitely generated uni…