• Corpus ID: 219687493

Generators in $\mathcal{Z}$-stable C*-algebras of real rank zero.

  title={Generators in \$\mathcal\{Z\}\$-stable C*-algebras of real rank zero.},
  author={Hannes Thiel},
  journal={arXiv: Operator Algebras},
  • Hannes Thiel
  • Published 15 June 2020
  • Mathematics
  • arXiv: Operator Algebras
We show that every separable C*-algebra of real rank zero that tensorially absorbs the Jiang-Su algebra contains a dense set of generators. It follows that in every classifiable, simple, nuclear C*-algebra, a generic element is a generator. 


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