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

Fuente: arXiv
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Hauptverfasser: Mestoudjian, Octave, Arrighi, Pablo
Format: Preprint
Veröffentlicht: 2025
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author Mestoudjian, Octave
Arrighi, Pablo
author_facet Mestoudjian, Octave
Arrighi, Pablo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_08856
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A self-contained proof of the Artin-Wedderburn theorem in the case of finite-dimensional Von Neumann algebras
Mestoudjian, Octave
Arrighi, Pablo
Rings and Algebras
Functional Analysis
Operator Algebras
46L10 (Primary), 16K20 (Secondary)
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.
title A self-contained proof of the Artin-Wedderburn theorem in the case of finite-dimensional Von Neumann algebras
topic Rings and Algebras
Functional Analysis
Operator Algebras
46L10 (Primary), 16K20 (Secondary)
url https://arxiv.org/abs/2507.08856