• Media type: Text; E-Article
  • Title: Münster Journal of Mathematics / Axiomatizability of the stable rank of C*-algebras
  • Contributor: Farah, Ilijas [Author]; Rørdam, Mikael [Author]; Rørdam, M. [Author]; Rordam, Mikael [Author]
  • Published: noah.nrw, 2017
  • Language: English
  • DOI: https://doi.org/10.17879/33249445432
  • Origination:
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  • Description: We show that the class of C*-algebras with stable rank greater than a given positive integer is axiomatizable in logic of metric structures. As a consequence we show that the stable rank is continuous with respect to forming ultrapowers of C*-algebras, and that stable rank is Kadison–Kastler stable.
  • Access State: Open Access