Reference : On the equivariant K-homology of PSL_2 of the imaginary quadratic integers
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/23772
On the equivariant K-homology of PSL_2 of the imaginary quadratic integers
English
Rahm, Alexander mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2016
Annales de l'Institut Fourier
Institut Fourier
66
4
1667-1689
Yes
International
0373-0956
1777-5310
Grenoble
[en] 55N91, Equivariant homology and cohomology. ; 19L47, Equivariant K-theory
[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.
Researchers
http://hdl.handle.net/10993/23772
http://hal.archives-ouvertes.fr/hal-01162857

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