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.
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Fedor Sukochev, Alexandr Usachev, Dmitriy Zanin, Dixmier traces generated by exponentiation invariant generalised limits. J. Noncommut. Geom. 8 (2014), no. 2, pp. 321–336DOI 10.4171/JNCG/158