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  • Title
    Nuclear dimension and n-comparison
  • Author
    Robert, Leonel
  • Is part of
    Münster Journal of Mathematics, Issue Münster Journal of Mathematics, page 65-72
  • Published
    2011
  • Language
    English
  • Document type
    Journal Article
  • URN
    urn:nbn:de:hbz:6-32449567498 
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Abstract
  • It is shown that if a C*-algebra has nuclear dimension n then its Cuntz semigroup has the property of n-comparison. It then follows from results by Ortega, Perera and Rørdam that σ-unital C*-algebras of finite nuclear dimension (and even of nuclear dimension at most ω) are stable if and only if they have no nonzero unital quotients and no nonzero bounded traces.
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