Trace Formulas

Steven Lord, Edward McDonald, Fedor Sukochev , Dmitriy Zanin

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Hardback

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English

De Gruyter
03 April 2023

Mathematics; Calculus & mathematical analysis; Numerical analysis

Series: De Gruyter Studies in Mathematics

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.

By: Steven Lord, Edward McDonald, Fedor Sukochev, Dmitriy Zanin
Imprint: De Gruyter
Country of Publication: Germany
Edition: 2nd corr. and exten. edition
Dimensions: Height: 240mm, Width: 170mm,
Weight: 965g
ISBN: 9783110700008
ISBN 10: 311070000X
Series: De Gruyter Studies in Mathematics
Pages: 514
Publication Date: 03 April 2023
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Steven Lord, U of Adelaide, Australia; Fedor Sukochev, Dmitriy Zanin and Edward McDonald, U of New South Wales, Australia.