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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Product details
ISBN
9783110700008
Published
2023-04-03
Publisher
De Gruyter
Weight
965 gr
Height
240 mm
Width
170 mm
Age
P, 06
Language
Product language
Engelsk
Format
Product format
Innbundet
Number of pages
514