TY  - JOUR
AB  - We enlarge the category of bornological coarse spaces by adding transfer morphisms and introduce the notion of an equivariant coarse homology theory with transfers. We then show that equivariant coarse algebraic K-homology and equivariant coarse ordinary homology can be extended to equivariant coarse homology theories with transfers. In the case of a finite group, we observe that equivariant coarse homology theories with transfers provide Mackey functors. We express standard constructions with Mackey functors in terms of coarse geometry, and we demonstrate the usage of transfers in order to prove injectivity results about assembly maps.
AU  - Bunke, Ulrich
AU  - Engel, Alexander
AU  - Kasprowski, Daniel
AU  - Winges, Christoph
DA  - 2020
DO  - 10.17879/90169656968
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 353
PY  - 2020
SP  - 353-424
T2  - Münster Journal of Mathematics
TI  - Transfers in coarse homology
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-90169657484
Y2  - 2024-11-22T06:14:17
ER  -