Localization, Whitehead groups and the Atiyah conjecture

DOI10.2140/akt.2018.3.33zbMath1391.19002arXiv1602.06906OpenAlexW3103250208WikidataQ123366838 ScholiaQ123366838MaRDI QIDQ2404190

Wolfgang Lück, Peter A. Linnell

Publication date: 18 September 2017

Published in: Annals of \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06906

zbMATH Keywords

algebraic \(K\)-theorylocalizationAtiyah conjecture

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Whitehead groups and (K_1) (19B99) Associative rings of fractions and localizations (16S85)

Related Items (4)

\(L^2\)-Betti numbers arising from the lamplighter group ⋮ Pseudo-Sylvester domains and skew Laurent polynomials over firs ⋮ Survey on L2‐invariants and 3‐manifolds ⋮ Agrarian and $L^2$-invariants

Cites Work

• Unnamed Item
• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
• The strong Atiyah conjecture for right-angled Artin and Coxeter groups.
• Noncommutative localisation in algebraic \(K\)-theory. II.
• Noncommutative localisation in algebraic \(K\)-theory. I
• The strong Atiyah conjecture for virtually cocompact special groups
• $L^2$-determinant class and approximation of $L^2$-Betti numbers
• TheL²-Alexander torsion of 3-manifolds
• Graph manifolds with boundary are virtually special
• On a Theorem of Ian Hughes About Division Rings of Fractions
• Criteria for virtual fibering
• Finite group extensions and the Atiyah conjecture
• Fields of Fractions for Group Algebras of Free Groups
• Division Rings and Group von Neumann Algebras
• Virtual cubulation of nonpositively curved graph manifolds
• Division Rings of Fractions for Group Rings
• Modules Over Coproducts of Rings

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