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arXiv:math/0112235 [math.OA]AbstractReferencesReviewsResources

K-homology of the rotation algebras $A_θ$

Tom Hadfield

Published 2001-12-21Version 1

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.

Comments: 16 pages, AMS Latex, uses package diagrams
Journal: Canadian Journal of Mathematics, 56, no. 5, 926-944 (2004)
Categories: math.OA, math.KT
Subjects: 58B34, 19K33
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