On the equivariant \(K\)-homology of \(\mathrm{PSL}_2\) of the imaginary quadratic integers

DOI10.5802/aif.3047zbMath1360.55007arXiv1506.03912OpenAlexW2964156795MaRDI QIDQ507080

Alexander D. Rahm

Publication date: 3 February 2017

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.03912

zbMATH Keywords

Bianchi groupsequivariant \(K\)-theory\(\mathrm{PLS}_2\) of imaginary quadratic integersequivariant homology and cohomology

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Equivariant (K)-theory (19L47)

Related Items (4)

The Farrell-Tate and Bredon homology for \(\operatorname{PSL}_4(\mathbb{Z})\) via cell subdivisions ⋮ On Ruan's cohomological crepant resolution conjecture for the complexified Bianchi orbifolds ⋮ On the equivariant \(K\)- and \(KO\)-homology of some special linear groups ⋮ Hecke operators in \(KK\)-theory and the \(K\)-homology of Bianchi groups

Uses Software

• Bianchi.gp

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Accessing the cohomology of discrete groups above their virtual cohomological dimension
• The integral homology of \(\mathrm{PSL}_2\) of imaginary quadratic integers with nontrivial class group
• Homology and \(K\)-theory of the Bianchi groups.
• Rational homology of Bianchi groups
• Zur Struktur der \(\mathrm{PSL}_2 \) über einigen imaginär-quadratischen Zahlringen
• The cohomology of \(SL_3(Z)\)
• Proper group actions and the Baum-Connes conjecture
• Bredon homology and equivariant \(K\)-homology of \(\mathrm{SL}(3,\mathbb Z)\)
• Le problème des groupes de congruence pour \(SL_2\)
• Spaces with measured walls, the Haagerup property and property (T)
• The homological torsion of PSL$_2$ of the imaginary quadratic integers
• Equivariant K-homology for hyperbolic reflection groups
• Higher torsion in the Abelianization of the full Bianchi groups
• Equivariant K -homology for some Coxeter groups
• A Gauss-Bonnet formula for discrete arithmetically defined groups
• \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space
• Groups with the Haagerup property. Gromov's a-T-menability

This page was built for publication: On the equivariant \(K\)-homology of \(\mathrm{PSL}_2\) of the imaginary quadratic integers