Abstract
We compute the equivariant –homology of the classifying space for proper actions of and . We also compute the Bredon homology and equivariant –homology of the classifying spaces for proper actions of and for each prime . Finally, we prove the unstable Gromov–Lawson–Rosenberg conjecture for a large class of groups whose maximal finite subgroups are odd order and have periodic cohomology.
Citation
Sam Hughes. "On the equivariant – and –homology of some special linear groups." Algebr. Geom. Topol. 21 (7) 3483 - 3512, 2021. https://doi.org/10.2140/agt.2021.21.3483
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