Grigorchuk, R.I., Linnell, P.A., Schick, T. and Zuk, A.: On a
conjecture of Atiyah
- Author: Rostislav Grigorchuk, Peter Linnell, Thomas
Schick, and Andrzej Zuk
- Titel: On a conjecture of Atiyah
- C.R. Acad. Sci. Paris 331, Serie I, 663-668 (2000)
- Abstract:
In this note we explain how the computation of the spectrum of the lamplighter
group of Grigorchuk and Zuk yields a counterexample to a strong
version of the Atiyah conjectures
about the range of $L^2$-Betti numbers of closed manifolds.
Thomas Schick