K- and L-theory of group rings

Details K- and L-theory of group rings K- and L-theory of group rings

2010-03-25

arxiv.org/abs/1003.5002v1

Mathematics

Geometric Topology

25 pages, to appear in Proceedings of the ICM 2010

Scientific paper

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.

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