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Random Matrices and Non-Exact C*-Algebras

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C*-Algebras

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Abstract

In the paper [HT2], we gave new proofs based on random matrix methods of the following two results:

  1. (1)

    Any unital exact stably finite C*-algebra has a tracial state.

  2. (2)

    If A is a unital exact C*-algebra, then any state on K 0(A) comes from a tracial state on A.

MaPhySto - Centre for Mathematical Physics and Stochastics, funded by a grant from The Danish National Research Foundation.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, SDU, Odense University, Campusvej 55, 5230, Odense M, Denmark

    U. Haagerup & S. Thorbjørnsen

Authors
  1. U. Haagerup
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  2. S. Thorbjørnsen
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Editor information

Editors and Affiliations

  1. Mathematisches Institut, Westfälische Wilhelms-Universität, Einsteinstraße 62, 48149, Münster, Germany

    Joachim Cuntz  & Siegfried Echterhoff  & 

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© 2000 Springer-Verlag Berlin Heidelberg

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Haagerup, U., Thorbjørnsen, S. (2000). Random Matrices and Non-Exact C*-Algebras. In: Cuntz, J., Echterhoff, S. (eds) C*-Algebras. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57288-3_5

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  • DOI: https://doi.org/10.1007/978-3-642-57288-3_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67562-4

  • Online ISBN: 978-3-642-57288-3

  • eBook Packages: Springer Book Archive

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