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Lidskii-Type Formulae for Dixmier Traces

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Abstract

We establish several analogues of the classical Lidskii Theorem for some special classes of singular traces (Dixmier traces and Connes–Dixmier traces) used in noncommutative geometry.

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Authors and Affiliations

  1. Department of Mathematics, Voronezh State University of Architecture and Civil Engineering, 20-letiya Oktyabrya 84, Voronezh, 394006, Russia

    A. A. Sedaev

  2. School of Mathematics and Statistics, University of New South Wales, Kensington, NSW, 2052, Australia

    F. A. Sukochev

  3. School of Computer Science, Engineering and Mathematics, Flinders University, Bedford Park, SA, 5042, Australia

    D. V. Zanin

Authors
  1. A. A. Sedaev
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  2. F. A. Sukochev
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  3. D. V. Zanin
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Corresponding author

Correspondence to F. A. Sukochev.

Additional information

A. A. Sedaev was partially supported by RFBR 08-01-00226.

F. A. Sukochev was partially supported by the ARC.

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Sedaev, A.A., Sukochev, F.A. & Zanin, D.V. Lidskii-Type Formulae for Dixmier Traces. Integr. Equ. Oper. Theory 68, 551–572 (2010). https://doi.org/10.1007/s00020-010-1828-1

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  • DOI: https://doi.org/10.1007/s00020-010-1828-1

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