Bönicke, Christian: A Going-Down principle for ample groupoids and applications. 2018
Inhalt
- Acknowledgements
- Introduction
- Chapter 1. Groupoids
- Chapter 2. Groupoid Dynamical Systems and Crossed Products
- Chapter 3. Equivariant KK-Theory
- 3.1. Preliminaries on Hilbert-modules
- 3.2. Hilbert Modules over C0(X)-algebras
- 3.3. G-Hilbert modules
- 3.4. KK-theory
- 3.5. Automatic Equivariance
- 3.6. The Compression Isomorphism
- Chapter 4. The Going-Down Principle
- 4.1. Universal Spaces for Proper Actions
- 4.2. Topological K-theory and the Baum-Connes Assembly Map
- 4.3. The Going-Down Principle
- 4.4. Going-Down Functors
- Chapter 5. Applications
- 5.1. Continuity of Topological K-theory
- 5.2. Amenability at Infinity and the Baum-Connes Conjecture
- 5.3. K-theory of Twisted Groupoid C*-algebras
- 5.4. A Mixed Künneth Formula
- Bibliography