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K-homology of the rotation algebras $A_θ$

Tom Hadfield
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Abstract

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.

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Tom Hadfield. 2001-12-21. K-homology of the rotation algebras $A_θ$. https://arxiv.org/abs/math/0112235

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