The strong Atiyah and Lück approximation conjectures for one-relator groups

DOI10.1007/s00208-019-01926-0zbMath1481.20093arXiv1810.12135OpenAlexW3105807034WikidataQ123353558 ScholiaQ123353558MaRDI QIDQ2308344

Diego López-Álvarez, Andrei Jaikin-Zapirain

Publication date: 3 April 2020

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12135

Mathematics Subject Classification ID

Group rings (16S34) Generators, relations, and presentations of groups (20F05) Infinite-dimensional and general division rings (16K40) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (10)

\(L^2\)-Betti numbers arising from the lamplighter group ⋮ Approximating the group algebra of the lamplighter by infinite matrix products ⋮ Pseudo-Sylvester domains and skew Laurent polynomials over firs ⋮ Survey on L2‐invariants and 3‐manifolds ⋮ Malcolmson semigroups ⋮ The agrarian polytope of two‐generator one‐relator groups ⋮ The universality of Hughes-free division rings ⋮ Sylvester matrix rank functions on crossed products ⋮ Residually finite rationally solvable groups and virtual fibring ⋮ The strong Atiyah and Lück approximation conjectures for one-relator groups

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