Trace Formulas
De Gruyter Studies in Mathematics 46/2 - Singular Traces 2
Lord, Steven/McDonald, Edward/Sukochev, Fedor et al
Erschienen am
03.04.2023, 1. Auflage 2023
Beschreibung
This volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are studied. Applications in Connes noncommutative geometry that are detailed include integration of quantum differentials, measures on fractals, and Connes character formula concerning the Hochschild class of the Chern character.
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Autorenportrait
Steven Lord, U of Adelaide, Australia; Fedor Sukochev, Dmitriy Zanin and Edward McDonald, U of New South Wales, Australia.