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arXiv · 1112.4393

Rational equivariant K-homology of low dimensional groups

Jean-François Lafont·Ivonne J. Ortiz·Rubén J. Sánchez-García
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Abstract

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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Jean-François Lafont, Ivonne J. Ortiz, Rubén J. Sánchez-García. 2011-12-19. Rational equivariant K-homology of low dimensional groups. https://arxiv.org/abs/1112.4393

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