Geodesic
The Farrell–Jones conjecture for fundamental groups of graphs of abelian groups
Giovanni Gandini1 ; Sebastian Meinert2 ; Henrik Rüping3
1Københavns Universitet, Copenhagen, Denmark
2Freie Universität Berlin, Germany
3The University of British Columbia, Vancouver, Canada
Groups, geometry, and dynamics, Tome 9 (2015) no. 3, pp. 783-792

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DOI

We show that the Farrell–Jones conjecture holds for fundamental groups of graphs of groups with abelian vertex groups. As a special case, this shows that the conjecture holds for generalized Baumslag–Solitar groups.
DOI : 10.4171/ggd/327
Classification : 18-XX, 19-XX
Mots-clés : Farrell–Jones Conjecture, algebraic K- and L-theory of group rings, fundamental groups of graphs of abelian groups, generalized Baumslag–Solitar groups, Baumslag– Solitar groups

Giovanni Gandini  1   ; Sebastian Meinert  2   ; Henrik Rüping  3

1 Københavns Universitet, Copenhagen, Denmark
2 Freie Universität Berlin, Germany
3 The University of British Columbia, Vancouver, Canada 
Giovanni Gandini; Sebastian Meinert; Henrik Rüping. The Farrell–Jones conjecture for fundamental groups of graphs of abelian groups. Groups, geometry, and dynamics, Tome 9 (2015) no. 3, pp. 783-792. doi: 10.4171/ggd/327
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     author = {Giovanni Gandini and Sebastian Meinert and Henrik R\"uping},
     title = {The {Farrell{\textendash}Jones} conjecture for fundamental groups of graphs of abelian groups},
     journal = {Groups, geometry, and dynamics},
     pages = {783--792},
     year = {2015},
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     number = {3},
     doi = {10.4171/ggd/327},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/327/}
}
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