On a conjecture of Atiyah
نویسندگان
چکیده
In this note we explain how the computation of the spectrum of the lamplighter group from [GZ01] yields a counterexample to a strong version of the Atiyah conjectures about the range of L -Betti numbers of closed manifolds.
منابع مشابه
On the Behaviour of the Atiyah Conjecture under Taking Subgroups and under Taking Quotients with Finite Kernel
We state and prove a condition under which the strong Atiyah Conjecture carries over to subgroups. Moreover, we show that if a group satisfies the (strong) Atiyah Conjecture then any quotient with finite kernel does.
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