Singular Traces Volume 2: Trace formulas

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 stud...

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Bibliographic Details
Main Author: Lord, Steven
Other Authors: McDonald, Edward, Sukochev, Fedor, Zanin, Dmitriy
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter 2023, ©2023
Edition:2nd edition
Series:De Gruyter Studies in Mathematics
Subjects:
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
Description
Summary: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.
Physical Description:XL, 471 pages
ISBN:978-3-11-070017-6
978-3-11-070024-4