A self-contained proof of the Artin-Wedderburn theorem in the case of finite-dimensional Von Neumann algebras

2025/07/09 by Mestoudjian, Octave, Arrighi, Pablo · 1 citation
#16K20 (Secondary) #46L10 (Primary) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2507.08856

Abstract

We provide a self-contained proof of the Artin-Wedderburn theorem in the case of finite-dimensional Von Neumann algebras (or equivalently unital C* algebras) that is fully constructive and uses only basic notions of linear algebra.

Citations

• The Wedderburn-Artin Theorem
• A constructive proof of the Wedderburn-Artin theorem
• An elementary approach to Wedderburn's structure theory

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• Picturing general quantum subsystems

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• An elementary approach to Wedderburn's structure theory
• A constructive proof of the Wedderburn-Artin theorem
• The Wedderburn-Artin Theorem
• A generalization of the inequality of Audenaert et al
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