Algebraic kktheory and the KHisomorphism conjecture
Abstract
We relate the DavisLück homology with coefficients in Weibel's homotopy Ktheory to the equivariant algebraic kktheory using homotopy theory and adjointness theorems. We express the left hand side of the assembly map for the KHisomorphism conjecture in terms of equivariant algebraic kkgroups.
 Publication:

arXiv eprints
 Pub Date:
 May 2022
 DOI:
 10.48550/arXiv.2205.04558
 arXiv:
 arXiv:2205.04558
 Bibcode:
 2022arXiv220504558E
 Keywords:

 Mathematics  KTheory and Homology;
 Mathematics  Algebraic Topology;
 19D55 (primary) 55N91;
 18N40;
 19K35 (secondary)
 EPrint:
 47 pages. The introduction was completely rewritten. Two sections were added: section 2 with preliminaries and section 8 on defining a kktheoretic assembly map for KH