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Crossed Products by C*-Correspondences and Cuntz-Pimsner Algebras

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C*-Algebras

Abstract

We introduce Cuntz-Pimsner algebras from the point of view of crossed products by C*-correspondences. Strong emphasis is put on the discussion of examples. In particular, we show that the Cuntz-Krieger algebras for infinite matrices recently introduced by Exel and Laca are Cuntz-Pimsner algebras, leading to a much simplified computation of their K-theory, as well as a characterization of simplicity in the unital case.

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Author information

Authors and Affiliations

  1. Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076, Tübingen, Germany

    Jürgen Schweizer

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  1. Jürgen Schweizer
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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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Schweizer, J. (2000). Crossed Products by C*-Correspondences and Cuntz-Pimsner Algebras. In: Cuntz, J., Echterhoff, S. (eds) C*-Algebras. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57288-3_11

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  • DOI: https://doi.org/10.1007/978-3-642-57288-3_11

  • 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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