Singular Traces. / Volume 2, : Trace Formulas / / 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 stud...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 |
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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 |
Online Access: | |
Physical Description: | 1 online resource (XL, 474 p.) |
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Table of Contents:
- 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