On a conjecture of Atiyah

Details On a conjecture of Atiyah On a conjecture of Atiyah

2000-09-19

arxiv.org/abs/math/0009175v1

C. R. Acad. Sci. Paris S\'er. I Math. 331 (2000), no. 9, 663--668

Mathematics

Geometric Topology

8 pages, A4 paper

Scientific paper

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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