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• W2736632145 abstract "We compute the equivariant $K$-homology of the classifying space for proper actions, for compact 3-dimensional hyperbolic reflection groups. This coincides with the topological $K$-theory of the reduced $C^ast$-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. As a result we can promote previous rational computations to integral compu- tations. Our proof relies on a new efficient algebraic criterion for checking torsion-freeness of K-theory groups, which could be applied to many other classes of groups." @default.
• W2736632145 created "2017-07-31" @default.
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• W2736632145 date "2018-07-13" @default.
• W2736632145 modified "2023-10-12" @default.
• W2736632145 title "Equivariant K-homology for hyperbolic reflection groups" @default.
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• W2736632145 doi "https://doi.org/10.1093/qmath/hay030" @default.
• W2736632145 hasPublicationYear "2018" @default.
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