Dixmier traces generated by exponentiation invariant generalised limits

Fedor Sukochev; Alexandr Usachev; Dmitriy Zanin

doi:10.4171/jncg/158

JournalsjncgVol. 8, No. 2pp. 321–336

Dixmier traces generated by exponentiation invariant generalised limits

Fedor Sukochev
University of New South Wales, Sydney, Australia
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- zbMATH Open
Alexandr Usachev
University of New South Wales, Sydney, Australia
- MathSciNet
- zbMATH Open
Dmitriy Zanin
University of New South Wales, Sydney, Australia
- MathSciNet
- zbMATH Open

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Abstract

We define a new class of singular positive traces on the ideal $M_{1, \infty}$ of $B (H)$ 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