C∗-segal algebras with order unit, II

Abstract

We continue the work begun in [12] on noncommutative C^∗ -Segal algebras, with an emphasis on the order structure. We extend and improve the main results of [12], and characterize the C^∗-Segal algebras with an order unitization.

Keywords: Segal algebra, approximate ideal, multiplier module, C^∗-Segal algebra, order unit, order unitization