The K-theoretic Farrell-Jones Conjecture for hyperbolic groups

Abstract

We prove the K-theoretic Farrell-Jones Conjecture for hyperbolic groups with (twisted) coefficients in any associative ring with unit.

33 pages; final version; to appear in Invent. Math

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• Survey on aspherical manifolds
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• A survey of surface braid groups and the lower algebraic K-theory of their group rings
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• Algebraic $K$-theory, assembly maps, controlled algebra, and trace methods
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• A universal coarse K-theory
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• The Isomorphism Conjecture for solvable groups in Waldhausen's A-theory
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