The Farrell–Jones conjecture forS-arithmetic groups

DOI10.1112/jtopol/jtv034zbMath1365.18010arXiv1309.7236OpenAlexW3103922091WikidataQ123257137 ScholiaQ123257137MaRDI QIDQ2797310

Henrik Rüping

Publication date: 5 April 2016

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

Full work available at URL: https://arxiv.org/abs/1309.7236

zbMATH Keywords

Farrell-Jones conjectureS-arithmetic groupslogarithmic volumelong covers

Mathematics Subject Classification ID

(K_0) of group rings and orders (19A31) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) (K_1) of group rings and orders (19B28) (L)-theory of group rings (19G24)

Related Items (9)

On the Farrell-Jones conjecture for algebraic \(K\)-theory of spaces: the Farrell-Hsiang method ⋮ Algebraic K-theory of group rings and the cyclotomic trace map ⋮ Topological rigidity for FJ by the infinite cyclic group ⋮ Some Open Problems About Aspherical Closed Manifolds ⋮ External Spanier-Whitehead duality and homology representation theorems for diagram spaces ⋮ Approximately fibering a manifold over an aspherical one ⋮ A vanishing theorem for tautological classes of aspherical manifolds ⋮ On the Farrell-Jones conjecture for Waldhausen's \(A\)-theory ⋮ The isomorphism conjecture for solvable groups in Waldhausen’s A-theory

Cites Work

• The Borel conjecture for hyperbolic and CAT(0)-groups
• Geodesic flow for CAT(0)-groups
• Mappings defined on 0-dimensional spaces and dimension theory
• Coefficients for the Farrell-Jones conjecture
• Reduction theory using semistability
• A short elementary proof of Grothendieck's theorem on algebraic vectorbundles over the projective line
• \(K\)- and \(L\)-theory of group rings over \(\mathrm{GL}_n(\mathbb Z)\)
• Negative \(K\)-theory of derived categories
• The $K$-theoretic Farrell-Jones conjecture for CAT(0)-groups
• On the existence of invariant measures for piecewise convex transformations
• The Farrell–Jones conjecture for virtually solvable groups:
• The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups
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