Trace Formulas
1st Edition
Published on 3. April 2023
XL, 474 pages
978-3-11-070017-6 (ISBN)
Description
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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Steven Lord | Edward McDonald | Fedor Sukochev
Trace Formulas
E-Book
04/2023
1st Edition
De Gruyter
€194.95
Available for download
Steven Lord | Edward McDonald | Fedor Sukochev
Trace Formulas
Book
04/2023
1st Edition
De Gruyter
€194.95
Shipment within 5-7 days
Persons
Steven Lord
, U of Adelaide, Australia;
Fedor Sukochev
,
Dmitriy Zanin
and
Edward McDonald
, U of New South Wales, Australia.
Content
- Intro
- 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
