Algebraic kk-theory and the KH-isomorphism conjecture

Abstract

We relate the Davis-Lück homology with coefficients in Weibel's homotopy K-theory to the equivariant algebraic kk-theory using homotopy theory and adjointness theorems. We express the left hand side of the assembly map for the KH-isomorphism conjecture in terms of equivariant algebraic kk-groups.

arXiv comment52 pages. The proof of Lemma 7.5 was clarified. Appendix D was added. Accepted version to appear in Documenta Mathematica