A Controlled Approach to the Isomorphism Conjecture

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70997We use a hocolim approach to the Isomorphism Conjecture in K-Theory to analyze the case of groups of the form $G\rtimes Z$ and $G_1*_{G}G_2$. As an important corollary we prove that the isomorphism conjecture in K-Theory holds for a finitely generated free group.K-Theory and Homology19D55; 55N20, 57T30A Controlled Approach to the Isomorphism Conjecturetext