K-homology of the rotation algebras $A_θ$

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We study the K-homology of the rotation algebras $A_θ$ using the six term cyclic sequence for the K-homology of a crossed product by ${\bf Z}$. In the case where $θ$ is irrational we use Pimsner and Voiculescu's work on AF-embeddings of the $A_θ$ to search for the missing generator of the even K-homology.
16 pages, AMS Latex, uses package diagrams

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