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

Abstract

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.

62 pages; updated the cofinality theorem 4.3 and Remark 8.5; minor changes to the introduction; updated bibliography and author adresses

References in corpus (2)

• The K-theoretic Farrell-Jones Conjecture for hyperbolic groups
• On the Farrell-Jones Conjecture for Waldhausen's $A$-theory

Cited by in corpus (2)

• Split injectivity of A-theoretic assembly maps
• The A-theoretic Farrell-Jones Conjecture for virtually solvable groups