The Baum–Connes and the Farrell–Jones Conjectures in K- and L-Theory

Wolfgang Lück () and Holger Reich ()
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Wolfgang Lück: Universität Münster, Fachbereich Mathematik
Holger Reich: Universität Münster, Fachbereich Mathematik

Chapter IV.2 in Handbook of K-Theory, 2005, pp 703-842 from Springer

Abstract: Abstract We give a survey of the meaning, status and applications of the Baum–Connes Conjecture about the topological K-theory of the reduced group C*-algebra and the Farrell–Jones Conjecture about the algebraic K- and L-theory of the group ring of a (discrete) group G.

Keywords: Torsion Free Group; Homology Theory; Whitehead Group; Orbit Category; Novikov Conjecture (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27855-9_15

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DOI: 10.1007/978-3-540-27855-9_15

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