TY  - JOUR
AB  - 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].
AU  - Kranz, Julian
DA  - 2021
DO  - 10.17879/06089641898
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 509
PY  - 2021
SP  - 509-536
T2  - Münster Journal of Mathematics
TI  - An identification of the Baum-Connes and Davis-Lück assembly maps
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-06089642240
Y2  - 2024-12-26T19:21:54
ER  -