The isomorphism conjecture for solvable groups in Waldhausen’s A-theory

DOI10.1142/S1793525319500195zbMath1469.19001arXiv1611.00072WikidataQ123201198 ScholiaQ123201198MaRDI QIDQ4968734

Xiaolei Wu, Francis Thomas Farrell

Publication date: 9 July 2019

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00072

zbMATH Keywords

solvable groupsisomorphism conjectureWaldhausen's A-theory

Mathematics Subject Classification ID

Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Algebraic (K)-theory of spaces (19D10)

Related Items (1)

The Farrell–Jones conjecture for normally poly-free groups

Cites Work

• The Farrell-Jones conjecture for arbitrary lattices in virtually connected Lie groups
• The Borel conjecture for hyperbolic and CAT(0)-groups
• The Farrell-Hsiang method revisited
• The Farrell-Jones conjecture for fundamental groups of graphs of abelian groups
• The topological-Euclidean space form problem
• On the Farrell-Jones conjecture for Waldhausen's \(A\)-theory
• \(K\)- and \(L\)-theory of group rings over \(\mathrm{GL}_n(\mathbb Z)\)
• The \(K\)-theoretic Farrell-Jones conjecture for hyperbolic groups
• The Farrell-Jones conjecture for the solvable Baumslag-Solitar groups
• The Farrell–Jones conjecture forS-arithmetic groups
• The Farrell–Jones conjecture for virtually solvable groups:
• The A‐theoretic Farrell–Jones conjecture for virtually solvable groups
• On Proofs of the Farrell–Jones Conjecture
• The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups

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