Topologically Injective $C^*$-Algebras
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 2, pp. 88-91
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A criterion for the topological injectivity of an $AW^*$-algebra as a right Banach module over itself is given. A necessary condition for a $C^*$-algebra to be topologically injective is obtained.
Keywords:
topological injectivity, metric injectivity, $AW^*$-algebra, $C^*$-algebra, l.u.st. property.
@article{FAA_2016_50_2_a8,
author = {N. T. Nemesh},
title = {Topologically {Injective} $C^*${-Algebras}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {88--91},
publisher = {mathdoc},
volume = {50},
number = {2},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2016_50_2_a8/}
}
N. T. Nemesh. Topologically Injective $C^*$-Algebras. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 2, pp. 88-91. http://geodesic.mathdoc.fr/item/FAA_2016_50_2_a8/