On a conjecture of Atiyah

A. Zuk; P. Linnell; R.I. Grigorchuk; T. Schick

arxiv: math/0009175 · v1 · pith:WD32QLCTnew · submitted 2000-09-19 · 🧮 math.GT · math.AT· math.KT

On a conjecture of Atiyah

R.I. Grigorchuk , P. Linnell , T. Schick , A. Zuk This is my paper

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keywords atiyahbetticiteclosedcomputationconjectureconjecturescounterexample

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In this note we explain how the computation of the spectrum of the lamplighter group from \cite{Grigorchuk-Zuk(2000)} yields a counterexample to a strong version of the Atiyah conjectures about the range of $L^2$-Betti numbers of closed manifolds.

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On a conjecture of Atiyah

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