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Funktsional'nyi Analiz i ego Prilozheniya, 2016, Volume 50, Issue 2, Pages 88–91
DOI: https://doi.org/10.4213/faa3235 (Mi faa3235) 		 
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Topologically Injective $C^*$-Algebras

N. T. Nemesh

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/faa3235
Abstract: 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.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-08392
This work was supported by the Russian Foundation for Basic Research (project no. 15-01-08392).
Received: 08.09.2015
English version:
Functional Analysis and Its Applications, 2016, Volume 50, Issue 2, Pages 157–159
DOI: https://doi.org/10.1007/s10688-016-0142-3
Bibliographic databases:
Document Type: Article
UDC: 517.986.22
Language: Russian
Citation: N. T. Nemesh, “Topologically Injective $C^*$-Algebras”, Funktsional. Anal. i Prilozhen., 50:2 (2016), 88–91; Funct. Anal. Appl., 50:2 (2016), 157–159
Citation in format AMSBIB
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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