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On the equivariant K-homology of PSL_2 of the imaginary quadratic integers

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01162857
Contributor : Alexander Rahm <>
Submitted on : Thursday, January 21, 2016 - 3:27:45 PM
Last modification on : Friday, March 19, 2021 - 9:50:02 PM
Long-term archiving on: : Friday, November 11, 2016 - 2:58:52 PM

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  • HAL Id : hal-01162857, version 2
  • ARXIV : 1506.03912

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Alexander Rahm. On the equivariant K-homology of PSL_2 of the imaginary quadratic integers. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2016, (accepted for publication on January 21, 2016). ⟨hal-01162857v2⟩

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