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

Published 18 Feb 2014 in math.OA and math.FA | (1402.4411v2)

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--.Zelazko conjecture.

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Authors (2)

  1. David P. Blecher 
  2. Tomasz Kania 

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