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Weiermann, Michael: On the Classifying Space for the Family of Virtually Cyclic Subgroups. 2006
Inhalt
Preface
Classifying Spaces
Classifying Spaces for Families of Subgroups
Equivariant Homology Theories
Spaces over a Category
Construction of Equivariant Homology Theories
Formulation of the Isomorphism Conjectures
Homotopy Colimits
Models for Classifying Spaces
The Case of the Family of Finite Subgroups
Groups acting on Trees
Word-hyperbolic Groups
Crystallographic Groups
The Case of the Family of Virtually Cyclic Subgroups
A Model for Colimits of Groups
Constructing Models for EVCyc(G) from EFin(G)
Constructing Models out of Given Ones
Computation of the Relative Homology Groups
A Class of Groups
Amenable Actions
Definition of Amenable Actions
Relations to Assembly Maps
Baum-Connes Assembly Map
Assembly Maps in Algebraic K- and L-Theory
Properties of Amenable Actions
Isotropy Groups of Amenable Actions
Bibliography