Title: The Fibered isomorphism conjecture for
manifolds (appeared in Acta
Math. Sin. (Engl. Ser.) 23 (2007), no. 4, 639--658.)
Abstract: In this paper we show that the fibered isomorphism conjecture of Farrell and Jones corresponding to the stable topological pseudoisotopy functor is true for the fundamental groups of a large class of complex manifolds (including some smooth complex algebraic varieties). A consequence of this result is that the Whitehead group, reduced projective class groups and the negative K-groups of the fundamental groups of these manifolds vanish whenever the fundamental group is torsion free. We also prove the same results for a class of real manifolds.