The large scale topology and algebraic \(K\)-theory of arithmetic groups

DOI10.1016/j.topol.2003.07.012zbMath1092.22008OpenAlexW2069279429MaRDI QIDQ1882926

Boris Goldfarb

Publication date: 1 October 2004

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2003.07.012

zbMATH Keywords

\(K\)-theoryChern charactercompact singular variety

Mathematics Subject Classification ID

Geometric group theory (20F65) Discrete subgroups of Lie groups (22E40) Structure of modular groups and generalizations; arithmetic groups (11F06) Differential geometry of symmetric spaces (53C35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

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Cites Work

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• On representations and compactifications of symmetric Riemannian spaces
• Satake compactifications
• Weighted cohomology
• Satake and Martin compactifications of symmetric spaces are topological balls
• Novikov conjectures for arithmetic groups with large actions at infinity
• L//2 cohomology of warped products and arithmetic groups
• Controlled algebra and the Novikov conjectures for \(K\)- and \(L\)-theory
• Local homology properties of boundaries of groups
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• On compactifications of the quotient spaces for arithmetically defined discontinuous groups
• Cech homology and the Novikov Conjectures for K- and L-Theory
• Novikov Conjectures and Relative Hyperbolicity