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The C*-algebras of the Heisenberg group and of thread-like Lie groups

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Abstract

We describe the C*-algebras of the Heisenberg group H n , n ≥ 1, and the thread-like Lie groups G N , N ≥ 3, in terms of C*-algebras of operator fields.

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Authors and Affiliations

  1. Laboratoire LMAM, UMR 7122, Département de Mathématiques, Université Paul Verlaine Metz, Ile de Saulcy, 57045, Metz Cedex 1, France

    Jean Ludwig

  2. Department of Mathematics, Chalmers University of Technology, University of Gothenburg, 412 96, Göteborg, Sweden

    Lyudmila Turowska

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  1. Jean Ludwig
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  2. Lyudmila Turowska
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Correspondence to Lyudmila Turowska.

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Ludwig, J., Turowska, L. The C*-algebras of the Heisenberg group and of thread-like Lie groups. Math. Z. 268, 897–930 (2011). https://doi.org/10.1007/s00209-010-0701-x

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  • DOI: https://doi.org/10.1007/s00209-010-0701-x

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