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
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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/