The Farrell-Jones isomorphism conjecture for finite co-volume hyperbolic actions and the algebraic K-theory of Bianchi groups, by Ethan Berkove, F. Thomas Farrell, Daniel Juan-Pineda, and Kimberly Pearson

In this paper we prove the Farrell-Jones isomorphism conjecture for groups acting on complete hyperbolic manifolds with finite volume orbit space. We then apply this result to show that for any Bianchi group G, the reduced lower algebraic K-theory of the integral group ring ZG is trivial.


Ethan Berkove <ae5450@exmail.usma.army.mil>
F. Thomas Farrell <farrell@math.binghamton.edu>
Daniel Juan-Pineda <djuan@zeus.ccu.umich.mx>
Kimberly Pearson <kpearson@exodus.valpo.edu>