Book contents
- Frontmatter
- Dedication
- Contents
- Introduction
- Part One Background
- Part Two Roe Algebras, Localisation Algebras and Assembly
- Part Three Differential Operators
- 8 Elliptic Operators and K-homology
- 9 Products and Poincaré Duality
- 10 Applications to Algebra, Geometry and Topology
- Part Four Higher Index Theory and Assembly
- Appendices
- References
- Index of Symbols
- Index
9 - Products and Poincaré Duality
from Part Three - Differential Operators
Published online by Cambridge University Press: 11 June 2020
Book contents
- Frontmatter
- Dedication
- Contents
- Introduction
- Part One Background
- Part Two Roe Algebras, Localisation Algebras and Assembly
- Part Three Differential Operators
- 8 Elliptic Operators and K-homology
- 9 Products and Poincaré Duality
- 10 Applications to Algebra, Geometry and Topology
- Part Four Higher Index Theory and Assembly
- Appendices
- References
- Index of Symbols
- Index
Summary
Applications of assembly maps to the Kadison-Kaplansky conjecture on the existence of idempotents in group algebras, to the existence and study of positive scalar curvature metrics, and to the Novikov conjecture in manifold topology.Historical motivation and some overview of the literature.
Keywords
- Type
- Chapter
- Information
- Higher Index Theory , pp. 353 - 392Publisher: Cambridge University PressPrint publication year: 2020