| Reference : Equivariant K-homology for hyperbolic reflection groups |
| Scientific journals : Article | |||
| Physical, chemical, mathematical & earth Sciences : Mathematics | |||
| http://hdl.handle.net/10993/32784 | |||
| Equivariant K-homology for hyperbolic reflection groups | |
| English | |
| Lafont, Jean-Francois [The Ohio State University] | |
| Ortiz, Ivonne [Miami University, Oxford, OH 45056, USA] | |
Rahm, Alexander  [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] | |
| Sanchez-Garcia, Ruben [University of Southampton] | |
| 1-Dec-2018 | |
| The Quarterly Journal of Mathematics | |
| Oxford University Press | |
| 69 | |
| 4 | |
| 1475-1505 | |
| Yes (verified by ORBilu) | |
| International | |
| 0033-5606 | |
| 1464-3847 | |
| Oxford | |
| England, UK | |
| [en] We compute the equivariant K-homology of the classifying space for proper actions, for cocompact 3-dimensional hyperbolic reflection groups.
This coincides with the topological K-theory of the reduced C*-algebra associated to the group, via the Baum-Connes conjecture. We show that, for any such reflection group, the associated K-theory groups are torsion-free. This means that we can complete previous computations with rational coefficients to get results with integral coefficients. On the way, we establish an efficient criterion for checking torsion-freeness of K-theory groups, which can be applied far beyond the scope of the present paper. | |
| Gabor Wiese’s University of Luxembourg grant AMFOR | |
| Researchers ; Professionals | |
| http://hdl.handle.net/10993/32784 |
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