Singular coefficients in the K–theoretic Farrell–Jones conjecture

Cortiñas, Guillermo; Rodríguez Cirone, Emanuel

doi:10.2140/agt.2016.16.129

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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

DOI: 10.2140/agt.2016.16.129

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 $R$ .

Keywords

K–theory, Farrell–Jones conjecture

Mathematical Subject Classification 2010

Primary: 18F25

Secondary: 19D55, 55N91

References

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

Volume 16, issue 1 (2016)