Geodesic
Algebraic $kk$-theory and the KH-isomorphism conjecture
Documenta mathematica, Tome 29 (2024) no. 2, pp. 399-456

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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.
DOI : 10.4171/dm/953
Classification : 19D55, 55N91, 18N40, 19K35
Mots-clés : bivariant algebraic K-theory, equivariant homology, homotopy K-theory, Quillen model categories 
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     title = {Algebraic $kk$-theory and the {KH-isomorphism} conjecture},
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Eugenia Ellis; Emanuel Rodríguez Cirone. Algebraic $kk$-theory and the KH-isomorphism conjecture. Documenta mathematica, Tome 29 (2024) no. 2, pp. 399-456. doi: 10.4171/dm/953

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