Algebraic kk-theory and the KH-isomorphism conjecture
K-Theory and Homology
2024-01-29 v3 Algebraic Topology
Abstract
We relate the Davis-L\"uck 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.
Cite
@article{arxiv.2205.04558,
title = {Algebraic kk-theory and the KH-isomorphism conjecture},
author = {Eugenia Ellis and Emanuel Rodríguez Cirone},
journal= {arXiv preprint arXiv:2205.04558},
year = {2024}
}
Comments
52 pages. The proof of Lemma 7.5 was clarified. Appendix D was added. Accepted version to appear in Documenta Mathematica