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The K-theoretic Farrell–Jones conjecture for hyperbolic groups

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Abstract

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

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Authors and Affiliations

  1. Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Einsteinstr. 62, 48149, Münster, Germany

    Arthur Bartels & Wolfgang Lück

  2. Mathematisches Institut, Heinrich-Heine-Universität Düsseldorf, Universitätsstr. 1, 40225, Düsseldorf, Germany

    Holger Reich

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  1. Arthur Bartels
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  2. Wolfgang Lück
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  3. Holger Reich
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Correspondence to Wolfgang Lück.

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Mathematics Subject Classification (2000)

19Dxx, 19A31, 19B28

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Bartels, A., Lück, W. & Reich, H. The K-theoretic Farrell–Jones conjecture for hyperbolic groups. Invent. math. 172, 29–70 (2008). https://doi.org/10.1007/s00222-007-0093-7

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