On the K-theory of groups with finite asymptotic dimension

DOI10.1515/CRELLE.2007.083zbMath1144.19001arXivmath/0605088OpenAlexW2963901934MaRDI QIDQ5459208

David Rosenthal, Arthur C. Bartels

Publication date: 25 April 2008

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605088

zbMATH Keywords

\(K\)-theoryasymptotic dimensionassembly map\(L\)-theory

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Computations of higher (K)-theory of rings (19D50) (K_0) of group rings and orders (19A31) (K_1) of group rings and orders (19B28) Group algebras of locally compact groups (22D15) (L)-theory of group rings (19G24)

Related Items

Algebraic K-theory of group rings and the cyclotomic trace map, On the dimension growth of groups., The asymptotic dimension of quotients by finite groups, Equivariant coarse homotopy theory and coarse algebraic K-homology, Higher invariants in noncommutative geometry, Equivariant covers for hyperbolic groups., A note on orbit categories, classifying spaces, and generalized homotopy fixed points, Erratum to: ``On the \(K\)-theory of groups with finite asymptotic dimension, Assembly maps with coefficients in topological algebras and the integral K-theoretic Novikov conjecture, A notion of geometric complexity and its application to topological rigidity, The Novikov conjecture, Shortening binary complexes and commutativity of K-theory with infinite products, Regular finite decomposition complexity, Cofinite proper classifying spaces for lattices in semisimple lie groups of R-rank 1

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