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

Octave Mestoudjian; Pablo Arrighi

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arXiv · 2507.08856

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

Octave Mestoudjian·Pablo Arrighi

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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.

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Octave Mestoudjian, Pablo Arrighi. 2025-07-09. A self-contained proof of the Artin-Wedderburn theorem in the case of finite-dimensional Von Neumann algebras. https://arxiv.org/abs/2507.08856

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