4 papers · 1 filter
Pietsch correspondence for symmetric functionals on Calkin operator spaces associated with semifinite von Neumann algebras
Galina Levitina, Alexandr Usachev
In this paper we extend the Pietsch correspondence for ideals of compact operators and traces on them to the semifinite setting. We prove that a shift-monotone space of seq…
Constructing KMS states from infinite-dimensional spectral triples
Magnus Goffeng, Adam Rennie, Alexandr Usachev
We construct KMS-states from -summable semifinite spectral triples and show that in several important examples the construction coincides with well-known direct cons…
Dixmier traces generated by exponentiation invariant generalised limits
Fedor Sukochev, Alexandr Usachev, Dmitriy Zanin
We define a new class of singular positive traces on the ideal of generated by exponentiation invariant generalized limits. We prove that this new cl…
On the distinction between the classes of Dixmier and Connes-Dixmier traces
Fedor Sukochev, Alexandr Usachev, Dmitriy Zanin
In the present paper we prove that the classes of Dixmier and Connes-Dixmier traces differ even on the Dixmier ideal . We construct a Marcinkiewicz space $\m…