On a conjecture of Atiyah
R. I. Grigorchuk, P. Linnell, T. Schick, A. Zuk
Abstract
In this note we explain how the computation of the spectrum of the lamplighter group from Grigorchuk-Zuk(2000) yields a counterexample to a strong version of the Atiyah conjectures about the range of L2-Betti numbers of closed manifolds.
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