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K-Homology of the Rotation Algebras $A_{\theta}$ |
Canad. J. Math. 56(2004), 926-944
Published:2004-10-01
Printed: Oct 2004
Printed: Oct 2004
- Tom Hadfield
Abstract
We study the K-homology of the rotation algebras
$A_{\theta}$ using the six-term cyclic sequence
for the K-homology of a crossed product by
${\bf Z}$. In the case that $\theta$ is irrational,
we use Pimsner and Voiculescu's work on AF-embeddings
of the $A_{\theta}$ to search for the missing
generator of the even K-homology.
| MSC Classifications: |
58B34 - Noncommutative geometry (a la Connes) 19K33 - EXT and $K$-homology [See also 55N22] 46L - unknown classification 46L |