Algebraic kk-theory and the KH-isomorphism conjecture
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866917575592509440 |
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| author | Ellis, Eugenia Cirone, Emanuel Rodríguez |
| author_facet | Ellis, Eugenia Cirone, Emanuel Rodríguez |
| contents | 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 in terms of equivariant algebraic kk-groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_04558 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Algebraic kk-theory and the KH-isomorphism conjecture Ellis, Eugenia Cirone, Emanuel Rodríguez K-Theory and Homology Algebraic Topology 19D55 (primary) 55N91, 18N40, 19K35 (secondary) 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 in terms of equivariant algebraic kk-groups. |
| title | Algebraic kk-theory and the KH-isomorphism conjecture |
| topic | K-Theory and Homology Algebraic Topology 19D55 (primary) 55N91, 18N40, 19K35 (secondary) |
| url | https://arxiv.org/abs/2205.04558 |