Finite generation in $C^\ast$-algebras and Hilbert $C^\ast$-modules
Operator Algebras
2014-11-26 v2 Functional Analysis
Abstract
We characterize -algebras and -modules such that every maximal right ideal (resp. right submodule) is algebraically finitely generated. In particular, -algebras satisfy the Dales--\.Zelazko conjecture.
Cite
@article{arxiv.1402.4411,
title = {Finite generation in $C^\ast$-algebras and Hilbert $C^\ast$-modules},
author = {David P. Blecher and Tomasz Kania},
journal= {arXiv preprint arXiv:1402.4411},
year = {2014}
}
Comments
to appear in Studia Mathematica