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