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| Title: | Algebraic kk-theory and the KH-isomorphism conjecture |
| Authors: | Ellis, Eugenia Rodríguez Cirone, Emanuel |
| Type: | Preprint |
| Keywords: | Bivariant algebraic K-theory, Equivariant homology, Homotopy Ktheory, Quillen model categories |
| Issue Date: | 2022 |
| 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 introduced by Bartels-Lück in terms of equivariant algebraic kk-groups. |
| Publisher: | arXiv |
| IN: | Mathematics (math.KT-K-Theory and Homology), arXiv:2205.04558, may. 2022, pp. 1-42. |
| Sponsors: | ANII - FCE_3_2018_1_148588 |
| Citation: | 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 |
| Appears in Collections: | Publicaciones académicas y científicas - Facultad de Ingeniería |
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