Geodesic
Real $AW^*$-Algebras of Type I
Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 4, pp. 79-81.

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Let $R$ be a real $AW^*$-algebra, and suppose that its complexification $M=R+iR$ is also a (complex) $AW^*$-algebra. We prove that $R$ is of type $\mathrm{I}$ if and only if so is $M$.
Keywords: real $C^*$-algebra, real $W^*$-algebra, real $AW^*$-algebra, type $\mathrm{I}$ algebra.
Mots-clés : complexification 
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Sh. A. Ayupov. Real $AW^*$-Algebras of Type I. Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 4, pp. 79-81. http://geodesic.mathdoc.fr/item/FAA_2004_38_4_a7/

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