Geodesic
Description of Real $AW^*$-Factors of Type~I
Matematičeskie zametki, Tome 76 (2004) no. 3, pp. 344-349.

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In the paper, real $AW^*$-algebras are considered, i.e., real $C^*$-algebras which are Baer *-rings. It is proved that every real $AW^*$-factor of type I (i.e., having a minimal projection) is isometrically *-isomorphic to the algebra $B(H)$ of all bounded linear operators on a real or quaternionic Hilbert space $H$ and, in particular, is a real $W^*$-factor. In the case of complex $AW^*$-algebras, a similar result was proved by Kaplansky. 
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Sh. A. Ayupov. Description of Real $AW^*$-Factors of Type~I. Matematičeskie zametki, Tome 76 (2004) no. 3, pp. 344-349. http://geodesic.mathdoc.fr/item/MZM_2004_76_3_a3/

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