The $KH$-Isomorphism Conjecture and Algebraic $KK$-theory

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215566In this article we prove that the $KH$-asembly map, as defined by Bartels and L{ü}ck, can be described in terms of the algebraic $KK$-theory of Cortinas and Thom. The $KK$-theory description of the $KH$-assembly map is similar to that of the Baum-Connes assembly map. In very elementary cases, methods used to prove the Baum-Connes conjecture also apply to the $KH$-isomorphism conjecture.K-Theory and Homology19D35; 19K35The $KH$-Isomorphism Conjecture and Algebraic $KK$-theorytext