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

Voir la notice de l'article 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. 
@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}},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {755--765},
     publisher = {mathdoc},
     volume = {67},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2021_67_4_a7/}
}
TY  - JOUR
AU  - A. A. Rakhimov
AU  - M. E. Nurillaev
AU  - Kh. Kh. Boltaev
TI  - Injectivity and nuclearity properties for real C*-algebras
JO  - Contemporary Mathematics. Fundamental Directions
PY  - 2021
SP  - 755
EP  - 765
VL  - 67
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMFD_2021_67_4_a7/
LA  - ru
ID  - CMFD_2021_67_4_a7
ER  - 
%0 Journal Article
%A A. A. Rakhimov
%A M. E. Nurillaev
%A Kh. Kh. Boltaev
%T Injectivity and nuclearity properties for real C*-algebras
%J Contemporary Mathematics. Fundamental Directions
%D 2021
%P 755-765
%V 67
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMFD_2021_67_4_a7/
%G ru
%F CMFD_2021_67_4_a7
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/