On finite local approximations of isometric actions of residually finite groups

Published 16 Dec 2025 in math.GR and math.MG | (2512.14147v1)

Abstract: We show that any isometric action of a residually finite group admits approximate local finite models. As a consequence, if $G$ is residually finite, every isometric $G$-action embeds isometrically into a metric ultraproduct of finite isometric $G$-actions.

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