Algebraic kk-theory and the KH-isomorphism conjecture

Ellis, Eugenia - Rodríguez Cirone, Emanuel

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.


Detalles Bibliográficos
2022
ANII - FCE_3_2018_1_148588
Bivariant algebraic K-theory
Equivariant homology
Homotopy Ktheory
Quillen model categories
Inglés
Universidad de la República
COLIBRI
https://arxiv.org/abs/2205.04558
https://hdl.handle.net/20.500.12008/33733
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)