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

preprint2014arXivOpen access

Abstract

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

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