Geodesic
Injectivity and nuclearity properties for real C*-algebras
Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 67 (2021) no. 4, pp. 755-765 
A. A. Rakhimov; M. E. Nurillaev; Kh. Kh. Boltaev. Injectivity and nuclearity properties for real C*-algebras. Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 67 (2021) no. 4, pp. 755-765. http://geodesic.mathdoc.fr/item/CMFD_2021_67_4_a7/
@article{CMFD_2021_67_4_a7,
     author = {A. A. Rakhimov and M. E. Nurillaev and Kh. Kh. Boltaev},
     title = {Injectivity and nuclearity properties for real {C*-algebras}},
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     volume = {67},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2021_67_4_a7/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this paper, we study injective and nuclear real W$^*$- and C$^*$-algebras. The connection of these concepts with similar concepts of enveloping W$^*$- and C$^*$-algebras is considered. The equivalence of the concepts of injectivity and nuclearity for real C$^*$-algebras is shown. As a consequence, nuclear real factors of types II$_1,$ II$_\infty,$ III$_1,$ III$_0,$ and III$_\lambda$ ($0\lambda1$) are completely described.

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