C*-Segal algebras with order unit
Operator Algebras
2012-09-25 v2 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1204.4931,
title = {C*-Segal algebras with order unit},
author = {Jukka Kauppi and Martin Mathieu},
journal= {arXiv preprint arXiv:1204.4931},
year = {2012}
}
Comments
23 pages; slightly enlarged and amended version