Finite generation in C*-algebras and Hilbert C*-modules

Blecher, David and Kania, Tomasz (2014) Finite generation in C*-algebras and Hilbert C*-modules. Studia Mathematica, 224 (2). pp. 143-151. ISSN 0039-3223

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Abstract

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-Żelazko conjecture.