The noncommutative factor theorem for lattices in product groups

DOI10.5802/jep.223OpenAlexW4319231346WikidataQ122965545 ScholiaQ122965545MaRDI QIDQ2687349

Rémi Boutonnet, Cyril Houdayer

Publication date: 2 March 2023

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.13548

zbMATH Keywords

factor theoremFurstenberg-Poisson boundariesgroup measure space von Neumann algebrashigher rank lattices in semisimple algebraic groups

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Discrete subgroups of Lie groups (22E40) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (1)

Charmenability of higher rank arithmetic groups

Cites Work

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• Factor and normal subgroup theorems for lattices in products of groups
• Homogeneous projective factors for actions of semi-simple Lie groups
• Stationary characters on lattices of semisimple Lie groups
• Charmenability of arithmetic groups of product type
• Complete descriptions of intermediate operator algebras by intermediate extensions of dynamical systems
• A Poisson formula for semi-simple Lie groups
• Decomposing locally compact groups into simple pieces
• Noncommuting Random Products
• Groups acting on trees: From local to global structure
• Lattices in product of trees
• On invariant subalgebras of group and von Neumann algebras

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