Isomorphism Conjecture for homotopy K-theory and groups acting on trees, by Arthur Bartels and Wolfgang Lueck

We 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.


Arthur Bartels <bartelsa@math.uni-muenster.de>
Wolfgang Lueck <lueck@math.uni-muenster.de>