Reference : Equivariant K-homology for hyperbolic reflection groups
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Equivariant K-homology for hyperbolic reflection groups
Lafont, Jean-Francois [The Ohio State University]
Ortiz, Ivonne [Miami University, Oxford, OH 45056, USA]
Rahm, Alexander mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Sanchez-Garcia, Ruben [University of Southampton]
The Quarterly Journal of Mathematics
Oxford University Press
Yes (verified by ORBilu)
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

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