2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72041We discuss an analogon to the Farrell-Jones Conjecture for homotopy algebraic K-theory. In particular, we prove that if a group G acts on a tree and all isotropy groups satisfy this conjecture, then G satisfies this conjecture. This result can be used to get rational injectivity results for the assembly map in the Farrell-Jones Conjecture in algebraic K-theory.40 pages, to appear in J. Pure Applied AlgebraK-Theory and Homology19D35, 19D55text