Algebraic & Geometric Topology Volume 13, issue 6 (2013)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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The Farrell–Jones conjecture for graph products

Giovanni Gandini and Henrik Rüping

Algebraic & Geometric Topology 13 (2013) 3651–3660

DOI: 10.2140/agt.2013.13.3651

Abstract

We show that the class of groups satisfying the $K$ – and $L$ –theoretic Farrell–Jones conjecture is closed under taking graph products of groups.

Keywords

algebraic $K$– and $L$–theory, group rings with arbitrary coefficients

Mathematical Subject Classification 2010

Primary: 18F25

Secondary: 19A31, 19B28, 19G24

References

Publication

Received: 7 December 2012

Accepted: 25 June 2013

Published: 14 October 2013

Authors

Giovanni Gandini
Institut for Matematiske Fag Københavns Universitet Universitetsparken 5 DK-2100 København Denmark
http://www.math.ku.dk/~zjb179
Henrik Rüping
Mathematisches Institut Rheinische Wilhelms-Universität Bonn Endenicher Allee 60 D-53115 Bonn Germany
http://www.math.uni-bonn.de/people/rueping