Rational equivariant K-homology of low dimensional groups

Details Rational equivariant K-homology of low dimensional groups Rational equivariant K-homology of low dimensional groups

2011-12-19

arxiv.org/abs/1112.4393v1

Mathematics

K-Theory and Homology

32 pages, 5 figures

Scientific paper

We consider groups G which have a cocompact, 3-manifold model for the classifying space \underline{E}G. We provide an algorithm for computing the rationalized equivariant K-homology of \underline{E}G. Under the additional hypothesis that the quotient 3-orbifold \underline{E}G/G is geometrizable, the rationalized K-homology groups coincide with the rationalized K-theory of the reduced C*-algebra of G. We illustrate our algorithm on some concrete examples.

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