On a conjecture of Atiyah
arXiv:math/0009175 · doi:10.1016/S0764-4442(00)01702-X
Abstract
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 -Betti numbers of closed manifolds.
8 pages, A4 paper