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Das nicht-kommutative Michael-Auswahlprinzip und die Klassifikation nicht-einfacher Algebren

  • Conference paper
C*-Algebras

Abstract

We outline the proofs of the following results (1)–(4):

  1. (1)

    Suppose that A and B are separable nuclear stable C*-algebras and that γ is a homeomorphism from Prim(A) onto Prim(B), then there is an isomorphism ϕ from A ⊗ O 2 onto B ⊗ O 2 such that, for J ∈ Prim(A),

    $$varphi (J \otimes {O_2}) = \gamma (J) \otimes {O_2}$$

    .

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Authors and Affiliations

  1. Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, D-10099, Berlin, Germany

    Eberhard Kirchberg

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

    Joachim Cuntz  & Siegfried Echterhoff  & 

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Kirchberg, E. (2000). Das nicht-kommutative Michael-Auswahlprinzip und die Klassifikation nicht-einfacher Algebren. In: Cuntz, J., Echterhoff, S. (eds) C*-Algebras. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57288-3_6

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  • DOI: https://doi.org/10.1007/978-3-642-57288-3_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67562-4

  • Online ISBN: 978-3-642-57288-3

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