C*-Segal algebras with order unit

Details C*-Segal algebras with order unit C*-Segal algebras with order unit

2012-04-22

arxiv.org/abs/1204.4931v1

Mathematics

Operator Algebras

21 pages

Scientific paper

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.

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