JournalsjncgVol. 8, No. 2pp. 321–336

Dixmier traces generated by exponentiation invariant generalised limits

  • Fedor Sukochev

    University of New South Wales, Sydney, Australia

  • Alexandr Usachev

    University of New South Wales, Sydney, Australia

  • Dmitriy Zanin

    University of New South Wales, Sydney, Australia
Dixmier traces generated by exponentiation invariant generalised limits cover
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Abstract

We define a new class of singular positive traces on the ideal of generated by exponentiation invariant generalized limits. We prove that this new class is strictly contained in the class of all Dixmier traces. We also prove a Lidskii-type formula for this class of traces.

Cite this article

Fedor Sukochev, Alexandr Usachev, Dmitriy Zanin, Dixmier traces generated by exponentiation invariant generalised limits. J. Noncommut. Geom. 8 (2014), no. 2, pp. 321–336

DOI 10.4171/JNCG/158