K-homology of the CAR algebra
Abstract
We compare the K-theory and K-homology of the well known CAR algebra. While the K0 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.
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