Singular Traces. / Volume 2, : Trace Formulas / / Steven Lord, Fedor Sukochev, Dmitriy Zanin, Edward McDonald.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
• VerfasserIn: Lord, Steven,; McDonald, Edward,; Sukochev, Fedor,; Zanin, Dmitriy,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2023]; ©2023
• Year of Publication: 2023
• Edition: 2nd corr. and exten. edition
• Language: English
• Series: De Gruyter Studies in Mathematics , 46/2
• Physical Description: 1 online resource (XL, 474 p.)
• Other title: Frontmatter --; Preface --; Notations --; Contents --; Introduction --; Part I: Trace and integral formulas --; 1 Bounded operators and pseudodifferential operators --; 2 Trace formulas --; 3 Integration formulas --; Part II: The principal symbol mapping in noncommutative geometry --; 4 Integration formula for the noncommutative plane --; 5 A C∗-algebraic approach to principal symbols and trace formulas --; 6 Quantum differentiability for the Euclidean plane --; Part III: Further applications --; 7 Connes character formula --; 8 Density of states --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110700176; 9783111175782; 9783111319292; 9783111318912; 9783111319209; 9783111318608
• ISSN: 0179-0986
• DOI: 10.1515/9783110700176
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Steven Lord, Fedor Sukochev, Dmitriy Zanin, Edward McDonald.

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.