K-homology of the rotation algebras $A_θ$

Details K-homology of the rotation algebras $A_θ$ K-homology of the rotation algebras $A_θ$

2001-12-21

arxiv.org/abs/math/0112235v1

Canadian Journal of Mathematics, 56, no. 5, 926-944 (2004)

Mathematics

Operator Algebras

16 pages, AMS Latex, uses package diagrams

Scientific paper

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 where $\theta$ 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.

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