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.

Cite this article

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

DOI 10.4171/JNCG/410