#### Volume 16, issue 1 (2016)

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

### Guillermo Cortiñas and Emanuel Rodríguez Cirone

Algebraic & Geometric Topology 16 (2016) 129–147
##### 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 $K\phantom{\rule{0.3em}{0ex}}$–theory of $R\left[G\right]$ is satisfied for every smooth $k$–algebra $R$, then it is also satisfied for every commutative $k$–algebra $R$.

##### Keywords
K–theory, Farrell–Jones conjecture
##### Mathematical Subject Classification 2010
Primary: 18F25
Secondary: 19D55, 55N91
##### Publication
Received: 14 April 2014
Revised: 6 April 2015
Accepted: 4 June 2015
Published: 23 February 2016
##### Authors
 Guillermo Cortiñas Departamento de Matemática-IMAS Universidad de Buenos Aires Ciudad Universitaria Pabellón 1 1428 Buenos Aires Argentina http://mate.dm.uba.ar/~gcorti Emanuel Rodríguez Cirone Departamento de Matemática-IMAS Universidad de Buenos Aires Ciudad Universitaria Pabellón 1 1428 Buenos Aires Argentina