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On the algebraic K- and L-theory of word hyperbolic groups

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Abstract.

In this paper, the assembly maps in algebraic K- and L-theory for the family of finite subgroups are proven to be split injections for word hyperbolic groups. This is done by analyzing the compactification of the Rips complex by the boundary of a word hyperbolic group.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, St. John’s University, 8000 Utopia Pkwy, Jamaica, NY, 11439, USA

    David Rosenthal

  2. Fachbereich Mathematik und Informatik, Westfälische Wilhelms-Universität Münster, Einsteinstr. 62, 48149, Münster, Germany

    Dirk Schütz

Authors
  1. David Rosenthal
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  2. Dirk Schütz
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Correspondence to David Rosenthal.

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Mathematics Subject Classification (2000): 20F67, 18F25

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Rosenthal, D., Schütz, D. On the algebraic K- and L-theory of word hyperbolic groups. Math. Ann. 332, 523–532 (2005). https://doi.org/10.1007/s00208-005-0634-6

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  • DOI: https://doi.org/10.1007/s00208-005-0634-6

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