Geodesic
The~Ideal of Compact Operators in Real Factors of Types~I and~II
Matematičeskie trudy, Tome 5 (2002) no. 1, pp. 129-134.

Voir la notice de l'article provenant de la source Math-Net.Ru

In the article we study the ideal of relatively compact operators in a real von Neumann factor. We prove a real analog of the Calkin theorem on the uniform closure and uniqueness of the ideal of relatively compact operators. In addition, we show that, unlike complex factors, in a real semifinite factor, up to isomorphism, there exist, in the discrete case, three, and, in the continuous case, two nonzero uniformly closed two-sided real ideals. 
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A. A. Rakhimov; A. A. Kats; R. A. Dadakhodjaev. The~Ideal of Compact Operators in Real Factors of Types~I and~II. Matematičeskie trudy, Tome 5 (2002) no. 1, pp. 129-134. http://geodesic.mathdoc.fr/item/MT_2002_5_1_a8/

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