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 ![]() | |
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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