On the Farrell-Jones Conjecture for algebraic K-theory of spaces: the Farrell-Hsiang method

We prove the Farrell-Jones Conjecture for algebraic K-theory of spaces for virtually poly-Z-groups. For this, we transfer the 'Farrell-Hsiang method' from the linear case to categories of equivariant, controlled retractive spaces.
Comment: 62 pages; updated the cofinality theorem 4.3 and Remark 8.5; minor changes to the introduction; updated bibliography and author adresses