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  • Title
    An identification of the Baum-Connes and Davis-Lück assembly maps
  • Author
    Kranz, Julian
  • Is part of
    Münster Journal of Mathematics, Issue Münster Journal of Mathematics, page 509-536
  • Published
    2021
  • Language
    English
  • Document type
    Journal Article
  • URN
    urn:nbn:de:hbz:6-06089642240 
  • DOI
    10.17879/06089641898 
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Abstract
  • The Baum–Connes conjecture predicts that a certain assembly map is an isomorphism. We identify the homotopy theoretical construction of the assembly map by Davis and L¨uck [8] with the category theoretical construction by Meyer and Nest [22]. This extends the result of Hambleton and Pedersen [12] to arbitrary coefficients. Our approach uses abstract properties rather than explicit constructions and is formally similar to Meyer’s and Nest’s identification of their assembly map with the original construction of the assembly map by Baum, Connes and Higson [2].
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