2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59070Paper withdrawn because of a gap in the proof of Proposition 3 of Thomas Schick: "Integrality of L2-Betti numbers", Math. Ann. 317, 727-750 (arXiv.org/abs/math.gt/0001101). Most results of the withdrawn paper were based on this proposition.Paper withdrawn by the authors because of a gap in the proof of a result of Thomas Schick: "Integrality of L2-Betti numbers", which was crucially used in the withdrawn paperGeometric TopologyGroup TheoryK-Theory and HomologyOperator AlgebrasGraphs of groups and the Atiyah conjecture for one-relator groupstext