Dixmier traces generated by exponentiation invariant generalised limits

作者：Sukochev Fedor^*; Usachev Alexandr; Zanin Dmitriy

来源：Journal of Noncommutative Geometry, 2014, 8(2): 321-336.

DOI：10.4171/JNCG/158

• Dixmier traces
• measurable elements
• exponentiation invariant generalized limits
• Lidskii formula

We define a new class of singular positive traces on the ideal M-1,M-infinity 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.

• 出版日期2014