On a conjecture of Atiyah
Abstract
In this note we explain how the computation of the spectrum of the lamplighter group from Grigorchuk-Zuk(2000) yields a counterexample to a strong version of the Atiyah conjectures about the range of L2-Betti numbers of closed manifolds.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.