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Search: MSC category 58B34 ( Noncommutative geometry (a la Connes) )

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1. CJM 2004 (vol 56 pp. 926)

 K-Homology of the Rotation Algebras $A_{\theta}$ 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. Categories:58B34, 19K33, 46L