The Farrell-jones Isomorphism Conjecture for Finite Co-volume Hyperbolic Actions and the Algebraic K-theory of Bianchi Groups

نویسندگان

  • E. BERKOVE
  • F. T. FARRELL
چکیده

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 Γ, Wh(Γ), K̃0(ZΓ), and Ki(ZΓ) vanish for i ≤ −1.

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تاریخ انتشار 2000