Rational equivariant K-homology of low dimensional groups
K-Theory and Homology
2013-04-30 v1 Algebraic Topology
Geometric Topology
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.
Cite
@article{arxiv.1112.4393,
title = {Rational equivariant K-homology of low dimensional groups},
author = {Jean-François Lafont and Ivonne J. Ortiz and Rubén J. Sánchez-García},
journal= {arXiv preprint arXiv:1112.4393},
year = {2013}
}
Comments
32 pages, 5 figures