## Algebraic & Geometric Topology

### Singular coefficients in the $K$–theoretic Farrell–Jones conjecture

#### Abstract

Let $G$ be a group and let $k$ be a field of characteristic zero. We prove that if the Farrell–Jones conjecture for the $K$–theory of $R[G]$ is satisfied for every smooth $k$–algebra $R$, then it is also satisfied for every commutative $k$–algebra $R$.

#### Article information

Source
Algebr. Geom. Topol., Volume 16, Number 1 (2016), 129-147.

Dates
Revised: 6 April 2015
Accepted: 4 June 2015
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.agt/1510841105

Digital Object Identifier
doi:10.2140/agt.2016.16.129

Mathematical Reviews number (MathSciNet)
MR3470698

Zentralblatt MATH identifier
1339.18009

Keywords
K–theory Farrell–Jones conjecture

#### Citation

Cortiñas, Guillermo; Rodríguez Cirone, Emanuel. Singular coefficients in the $K$–theoretic Farrell–Jones conjecture. Algebr. Geom. Topol. 16 (2016), no. 1, 129--147. doi:10.2140/agt.2016.16.129. https://projecteuclid.org/euclid.agt/1510841105

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