Preprint
Algebraic kk-theory and the KH-isomorphism conjecture
Fecha
2022Registro en:
Ellis, E. y Rodríguez Cirone, E. Algebraic kk-theory and the KH-isomorphism conjecture. [Preprint]. Publicado en : Mathematics (math.KT-K-Theory and Homology), 2022, pp. 1-42. .arXiv:2205.04558
Autor
Ellis, Eugenia
Rodríguez Cirone, Emanuel
Institución
Resumen
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 introduced by Bartels-Lück in terms of equivariant algebraic kk-groups.