On a conjecture of Atiyah
几何拓扑
2015-06-26 v1 代数拓扑
K理论与同调
摘要
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.
引用
@article{arxiv.math/0009175,
title = {On a conjecture of Atiyah},
author = {R. I. Grigorchuk and P. Linnell and T. Schick and A. Zuk},
journal= {arXiv preprint arXiv:math/0009175},
year = {2015}
}
备注
8 pages, A4 paper