Assembly Maps
K-Theory and Homology
2019-01-03 v2
Abstract
We introduce and analyze the concept of an assembly map from the original homotopy theoretic point of view. We give also interpretations in terms of surgery theory, controlled topology and index theory. The motivation is that prominent conjectures of Farrell-Jones and Baum-Connes about K- and L-theory of group rings and group C^*-algebras predict that certain assembly maps are weak homotopy equivalences.
Cite
@article{arxiv.1805.00226,
title = {Assembly Maps},
author = {Wolfgang Lueck},
journal= {arXiv preprint arXiv:1805.00226},
year = {2019}
}
Comments
corrected a few misprints and updated the references, 33 pages, submitted to Handbook of Homotopy Theory