A short proof of the approximation conjecture for amenable groups

DOI10.1016/j.jfa.2008.05.018zbMath1158.28005OpenAlexW1968293368MaRDI QIDQ957965

Daniel Pape

Publication date: 2 December 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.05.018

zbMATH Keywords

von Neumann dimensionamenable groups\(\ell ^{2}\)-Betti numbersapproximation conjecture

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Entropy and other invariants (28D20)

Related Items (3)

The base change in the Atiyah and the Lück approximation conjectures ⋮ The limit of $\mathbb{F}_{p}$-Betti numbers of a tower of finite covers with amenable fundamental groups ⋮ Vanishing of l²‐cohomology as a computational problem

Cites Work

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• The strong approximation conjecture holds for amenable groups
• Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
• Residual amenability and the approximation of \(L^2\)-invariants
• $L^2$-determinant class and approximation of $L^2$-Betti numbers
• ON THE ANALYTIC ZERO DIVISOR CONJECTURE OF LINNELL
• Approximating L²‐invariants and the Atiyah conjecture

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