Isomorphism Conjecture for homotopy K-theory and groups acting on trees

Details Isomorphism Conjecture for homotopy K-theory and groups acting on trees Isomorphism Conjecture for homotopy K-theory and groups acting on trees

2004-07-28

arxiv.org/abs/math/0407489v2

Mathematics

K-Theory and Homology

40 pages, to appear in J. Pure Applied Algebra

Scientific paper

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.

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