Geodesic
Description of the Real von Neumann Algebras with Abelian Skew-Symmetric Part
Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 2, pp. 75-77.

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In this note we describe (up to isomorphism) the real von Neiman algebras $R$ with Abelian skew-symmetric part $R_k=\{x\in R:x^*=-x\}$, i.e., such that $xy-yx=0$ for any $x,y\in R_k$.
Keywords: real von Neimann algebra, symmetric element, skew-symmetric element, $JW$-algebra, spin factor. 
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Sh. A. Ayupov. Description of the Real von Neumann Algebras with Abelian Skew-Symmetric Part. Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 2, pp. 75-77. http://geodesic.mathdoc.fr/item/FAA_2002_36_2_a7/

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