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

David P. Blecher; Tomasz Kania

Studia Mathematica (2014)

  • Volume: 224, Issue: 2, page 143-151
  • ISSN: 0039-3223

Abstract

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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-Żelazko conjecture.

How to cite

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David P. Blecher, and Tomasz Kania. "Finite generation in C*-algebras and Hilbert C*-modules." Studia Mathematica 224.2 (2014): 143-151. <http://eudml.org/doc/285484>.

@article{DavidP2014,
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.},
author = {David P. Blecher, Tomasz Kania},
journal = {Studia Mathematica},
keywords = {Hilbert module; -module; finitely generated ideal; algebraically finitely generated; maximal ideal; -algebra; Dales-Żelazko conjecture},
language = {eng},
number = {2},
pages = {143-151},
title = {Finite generation in C*-algebras and Hilbert C*-modules},
url = {http://eudml.org/doc/285484},
volume = {224},
year = {2014},
}

TY - JOUR
AU - David P. Blecher
AU - Tomasz Kania
TI - Finite generation in C*-algebras and Hilbert C*-modules
JO - Studia Mathematica
PY - 2014
VL - 224
IS - 2
SP - 143
EP - 151
AB - 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.
LA - eng
KW - Hilbert module; -module; finitely generated ideal; algebraically finitely generated; maximal ideal; -algebra; Dales-Żelazko conjecture
UR - http://eudml.org/doc/285484
ER -

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