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 
@article{FAA_2004_38_4_a7,
     author = {Sh. A. Ayupov},
     title = {Real $AW^*${-Algebras} of {Type} {I}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {79--81},
     publisher = {mathdoc},
     volume = {38},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2004_38_4_a7/}
}
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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/