Elliptic Theory and Noncommutative Geometry

1. Introduction
Part I.Analysis of Nonlocal Elliptic Operators

2. Nonlocal Functions and Bundles
3. Nonlocal Elliptic Operators
4. Elliptic Operators over C*-Algebras
Part II.Homotopy Invariants of Nonlocal Elliptic Operators

5. Homotopy Classification
6. Analytic Invariants
7. Bott Periodicity
8. Direct Image and Index Formulas in K-Theory
9. Chern Character
10. Cohomological Index Formula
11. Cohomological Formula for the ?-Index
12. Index of Nonlocal Operators over C*-Algebras
Part III.Examples

13. Index Formula on the Noncommutative Torus
14. An Application of Higher Traces
15. Index Formula for a Finite Group ?

DRM-restrictions

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Avainsanat: MATHEMATICS / General MAT000000