October 2, 2025Open Access

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

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This proof demonstrates the artin-wedderburn theorem for finite-dimensional von neumann algebras, suggesting a clear linear algebra foundation.

This proof is fully constructive and simplifies the understanding of the artin-wedderburn theorem.
Key theorem supports the structure of finite-dimensional von neumann algebras, linking them to c* algebras.
Uses only foundational concepts from linear algebra, making it accessible to a broader audience.
Exploration of these algebras aids in understanding complex mathematical frameworks and applications.

Mestoudjian et al. (2025) studied this question.

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This proof demonstrates the artin-wedderburn theorem for finite-dimensional von neumann algebras, suggesting a clear linear algebra foundation.