Annals of K-Theory

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.

Article information

Source
Ann. K-Theory, Volume 4, Number 1 (2019), 57-138.

Dates
Revised: 10 September 2018
Accepted: 27 September 2018
First available in Project Euclid: 9 April 2019

https://projecteuclid.org/euclid.akt/1554775255

Digital Object Identifier
doi:10.2140/akt.2019.4.57

Mathematical Reviews number (MathSciNet)
MR3936015

Zentralblatt MATH identifier
07051947

Citation

Ullmann, Mark; Winges, Christoph. On the Farrell–Jones conjecture for algebraic $K$-theory of spaces: the Farrell–Hsiang method. Ann. K-Theory 4 (2019), no. 1, 57--138. doi:10.2140/akt.2019.4.57. https://projecteuclid.org/euclid.akt/1554775255

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