On the Farrell-Jones Conjecture and its applications

Details On the Farrell-Jones Conjecture and its applications On the Farrell-Jones Conjecture and its applications

2007-03-19

arxiv.org/abs/math/0703548v1

Mathematics

K-Theory and Homology

Scientific paper

We present the status of the Farrell-Jones Conjecture for algebraic K-theory for a group G and arbitrary coefficient rings R. We add new groups for which the conjecture is known to be true and study inheritance properties. We discuss new applications, focussing on the Bass Conjecture, the Kaplansky Conjecture and conjectures generalizing Moody's Induction Theorem. Thus we extend the class of groups for which these conjectures are known considerably.

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