Chapter 12. Residues and Integrals in Noncommutative Geometry

Kapitel in diesem Buch

1. Frontmatter i
2. Preface v
3. Notations vii
4. Contents xiii
5. Introduction 1
6. Part I. Preliminary Material
7. Chapter 1. What is a Singular Trace? 15
8. Chapter 2. Preliminaries on Symmetric Operator Spaces 38
9. Part II. General Theory
10. Chapter 3. Symmetric Operator Spaces 75
11. Chapter 4. Symmetric Functionals 107
12. Chapter 5. Commutator Subspace 153
13. Chapter 6. Dixmier Traces 194
14. Part III. Traces on Lorentz Ideals
15. Chapter 7. Lidskii Formulas for Dixmier Traces on Lorentz Ideals 221
16. Chapter 8. Heat Kernel Formulas and ξ-function Residues 244
17. Chapter 9. Measurability in Lorentz Ideals 272
18. Part IV. Applications to Noncommutative Geometry
19. Chapter 10. Preliminaries to the Applications 303
20. Chapter 11. Trace Theorems 336
21. Chapter 12. Residues and Integrals in Noncommutative Geometry 382
22. Appendix A. Operator Results 420
23. Bibliography 429
24. Index 445