A note on Civin-Yood Theorem for locally C$^{ ext{*}.
Authors :
Alexander A. Katz
Author Address :
Department of Mathematics and Computer Science, St. John’s University, Queens, NY 11439, USA.
Abstract :
In the present note we establish Civin-Yood Theorem for locally $C^{ast }$-algebras, i.e. we show that if $A$ be a locally $C^{ast }$-algebra, and $% J$ be its closed Jordan ideal, then $J$ is as well a closed two-sided $% ^{ast }$-ideals in $A$.
Keywords :
$C^{ast }$% -algebras, locally $C^{ast }$-algebras, projective limit of projective family of $C^{ast }$-algebras{.}
DOI :
Article Info :
Received : February 26, 2015; Accepted : March 01, 2015.
