The ideal envelope of an operator algebra
Operator Algebras
2007-05-23 v1 Functional Analysis
Abstract
A left ideal of any C*-algebra is an example of an operator algebra with a right contractive approximate identity (r.c.a.i.). Conversely, we show here and in a `pre-quel' to this paper [B], that operator algebras with r.c.a.i. should be studied in terms of a certain left ideal of a C*-algebra. We study operator algebras and their multiplier algebras from the perspective of `Hamana theory' and using the multiplier algebras introduced by the first author.
Cite
@article{arxiv.math/0111122,
title = {The ideal envelope of an operator algebra},
author = {David P. Blecher and Masayoshi Kaneda},
journal= {arXiv preprint arXiv:math/0111122},
year = {2007}
}