C*-Segal algebras with order unit
arXiv:1204.4931 · doi:10.1016/j.jmaa.2012.09.031
Abstract
We introduce the notion of a (noncommutative) C*-Segal algebra as a Banach algebra which is a dense ideal in a C*-algebra. Several basic properties are investigated and, with the aid of the theory of multiplier modules, the structure of C*-Segal algebras with order unit is determined.
23 pages; slightly enlarged and amended version