On the equivariant K-homology of PSL_2 of the imaginary quadratic integers
Résumé
We establish formulae for the part due to torsion of the equivariant K-homology of all the Bianchi groups (PSL_2 of the imaginary quadratic integers), in terms of elementary number-theoretic quantities. To achieve this, we introduce a novel technique in the computation of Bredon homology: representation ring splitting, which allows us to adapt the recent technique of torsion subcomplex reduction from group homology to Bredon homology.
Domaines
K-théorie et homologie [math.KT]Origine | Fichiers produits par l'(les) auteur(s) |
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