Coarse assembly maps

  • Ulrich Bunke

    Universität Regensburg, Germany
  • Alexander Engel

    Universität Münster, Germany
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For every strong coarse homology theory we construct a coarse assembly map as a natural transformation between coarse homology theories. We provide various conditions implying that this assembly map is an equivalence. These results generalize known results for the analytic coarse assembly map for -homology to general coarse homology theories. Furthermore, we calculate the domain of the coarse assembly map explicitly in terms of locally finite homology theory.

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Ulrich Bunke, Alexander Engel, Coarse assembly maps. J. Noncommut. Geom. 14 (2020), no. 4, pp. 1245–1303

DOI 10.4171/JNCG/410