Dixmier traces generated by exponentiation invariant generalised limits
Operator Algebras
2012-10-15 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1210.3398,
title = {Dixmier traces generated by exponentiation invariant generalised limits},
author = {Fedor Sukochev and Alexandr Usachev and Dmitriy Zanin},
journal= {arXiv preprint arXiv:1210.3398},
year = {2012}
}