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arxiv: math/0402405 · v1 · submitted 2004-02-25 · 🧮 math.KT

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

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keywords groupbaum-connesconjecturefarrell-jonesl-theoryalgebraalgebraicapplications
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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.

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