Finite generation in $C^\ast$-algebras and Hilbert $C^\ast$-modules

David P. Blecher; Tomasz Kania

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Finite generation in C^ast-algebras and Hilbert C^ast-modules

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arxiv 1402.4411 v2 pith:BDCSOPTS submitted 2014-02-18 math.OA math.FA

Finite generation in C^ast-algebras and Hilbert C^ast-modules

David P. Blecher , Tomasz Kania This is my paper

classification math.OA math.FA

keywords algebrasmodulesrightalgebraicallycharacterizeconjecturedales--every

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We characterize $C^*$-algebras and $C^*$-modules such that every maximal right ideal (resp. right submodule) is algebraically finitely generated. In particular, $C^*$-algebras satisfy the Dales--\.Zelazko conjecture.

Finite generation in C^ast-algebras and Hilbert C^ast-modules

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