Rave, Stephan David: On finitely summable K-homology. 2012
Inhalt
- Introduction
- Conventions and Notation
- Preliminaries
- Schatten class operators
- Representations of *-algebras
- Holomorphic functional calculus
- Pre-C*-algebras
- Projections and unitaries in pre-C*-algebras
- Finitely Summable K-Homology
- K-Homology
- Product and index pairing in K-homology
- Definition of finitely summable K-homology
- Normalization of finitely summable modules
- Basic Properties
- Nearly degenerate Fredholm modules
- Unitization and direct sums
- Barreled algebras
- Stability
- Miscellaneous results
- AF-Algebras
- Direct Sums
- Manifolds
- Degenerate Cases
- Algebras with bounded approximate units
- Amenable Banach algebras
- Higher rank Lie groups
- Algebras with bounded groups of unitaries
- Appendix
- Bibliography