Free lamplighter groups and a question of Atiyah

DOI10.1353/ajm.2013.0029zbMath1357.46054arXiv1005.2347OpenAlexW2043000697MaRDI QIDQ2851619

Franz Lehner, Stephan G. Wagner

Publication date: 14 October 2013

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.2347

zbMATH Keywords

von Neumann dimensionlamplighter group\(L^2\)-Betti numberadjacency operator\(L^2\)-cohomology number

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55)

Related Items (12)

Mean dimension, mean rank, and von Neumann-Lück rank ⋮ Closed manifolds with transcendentalL²-Betti numbers: ⋮ On the lattice of subgroups of the lamplighter group ⋮ The base change in the Atiyah and the Lück approximation conjectures ⋮ The Realization Problem for some wild monoids and the Atiyah Problem ⋮ On computing homology gradients over finite fields ⋮ On Turing dynamical systems and the Atiyah problem ⋮ The lamplighter group of rank two generated by a bireversible automaton ⋮ Group ring elements with large spectral density ⋮ Unnamed Item ⋮ From Self-Similar Groups to Self-Similar Sets and Spectra ⋮ Vanishing of l²‐cohomology as a computational problem

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