Klaus Lamotke

Bio: Klaus Lamotke is an academic researcher. The author has an hindex of 2, co-authored 2 publications receiving 104 citations.

Spaces over a category and assembly maps in isomorphism conjectures in K- and L-theory.

Abstract: We give a unified approach to the Isomorphism Conjecture of Farrell and Jones on the algebraic K- and L-theory of integral group rings and to the Baum-Connes Conjecture on the topological K-theory of reducedC-algebras of groups The approach is through spectra over the orbit category of a discrete group G We give several points of view on the assembly map for a family of subgroups and characterize such assembly maps by a universal property generalizing the results of Weiss and Williams to the equivariant setting The main tools are spaces and spectra over a category and their associated generalized homology and cohomology theories, and homotopy limits Mathematics Subject Classification (1991) 57-XX