55N91, Equivariant homology and cohomology.; 19L47, Equivariant K-theory
Abstract :
[en] 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.
Disciplines :
Mathematics
Author, co-author :
Rahm, Alexander ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
On the equivariant K-homology of PSL_2 of the imaginary quadratic integers