Brent Nelson

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20242026

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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

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…