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Meyer, Marcus: Chern Characters for Topological Groups. 2006
Inhalt
Introduction
The Basic Setup
Totally Disconnected Groups
The Orbit Category
Modules over a Category
G-CW-Complexes
Equivariant Homology Theories
The Associated Bredon Homology Theory
Linear Algebraic Groups
Equivariant (Co)Homology Theories
Borel Construction
Equivariant Bivariant K-theory
Flat and Injective Modules over a Category
Flat Modules over a Category
Classification of Projective Modules
Mackey Functors
Injective Modules over a Category
Classification of Injective Modules
Mackey Functors
Applications to K-Theory
The Construction of the Equivariant Chern Character
The Homological Equivariant Chern Character
The Cohomological Equivariant Chern Character
About the Non-Existence of Equivariant Chern Characters
Comparison of Different Chern Characters
The Comparison Theorem
A Chern Character for Discrete Groups (Lück/Oliver)
A Cohomological Chern Character for Prodiscrete Groups (Sauer)
A Chern Character for Discrete Groups (Lück)
A Bivariant Chern Character for Profinite Groups (Baum/Schneider)
A Bivariant Chern Character for l-Groups (C. Voigt)
The Group Ring
Limit Behavior of Flat, Projective and Injective Modules
Bibliography
Table of Notation
Index