K- and L-theory of group rings
Geometric Topology
2010-03-29 v1
Abstract
This article will explore the K- and L-theory of group rings and their applications to algebra, geometry and topology. The Farrell-Jones Conjecture characterizes K- and L-theory groups. It has many implications, including the Borel and Novikov Conjectures for topological rigidity. Its current status, and many of its consequences are surveyed.
Cite
@article{arxiv.1003.5002,
title = {K- and L-theory of group rings},
author = {Wolfgang Lueck},
journal= {arXiv preprint arXiv:1003.5002},
year = {2010}
}
Comments
25 pages, to appear in Proceedings of the ICM 2010