K-homology of the CAR algebra
Operator Algebras
2016-09-07 v1 K-Theory and Homology
Abstract
We compare the K-theory and K-homology of the well known CAR algebra. While the group is infinitely generated, we shows that it pairs identically to zero with even Fredholm modules over the algebra. We show further that in fact the even K-homology is trivial, while the odd K-homology is very large. These results give some insight into the K-homology of AF-algebras.
Cite
@article{arxiv.math/0112236,
title = {K-homology of the CAR algebra},
author = {Tom Hadfield},
journal= {arXiv preprint arXiv:math/0112236},
year = {2016}
}
Comments
4 pages, AMS Latex