N. T. Nemesh, “Topologically Injective <nobr>$C^*$</nobr>-Algebras”, Funktsional. Anal. i Prilozhen., 2016, Volume 50, Issue 2,Pages <nobr>88

Brief communications

Topologically Injective $C^*$-Algebras

N. T. Nemesh

Lomonosov Moscow State University

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.

UDC: 517.986.22

Received: 08.09.2015

DOI: 10.4213/faa3235