Geodesic
On Jones' index for real $\mathrm W^*$-algebras
Eurasian mathematical journal, Tome 1 (2010) no. 4, pp. 5-19.

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The notions of the real coupling constant and the index for real $\mathrm W^*$-algebras are introduced and investigated. The main tool in our approach is the reduction of real $\mathrm W^*$-algebras to involutive $^*$-anti-automorphisms of their complex enveloping von Neumann algebras. Similar to the complex case the values of the index for type II$_1$ real factors are calculated. 
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S. Albeverio; Sh. A. Ayupov; R. A. Dadakhodjaev; A. A. Rakhimov. On Jones' index for real $\mathrm W^*$-algebras. Eurasian mathematical journal, Tome 1 (2010) no. 4, pp. 5-19. http://geodesic.mathdoc.fr/item/EMJ_2010_1_4_a0/

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