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K-Homology of the Rotation Algebras Aθ
Published online by Cambridge University Press: 20 November 2018
Abstract
We study the $\text{K}$-homology of the rotation algebras
${{A}_{\theta }}$
using the six-term cyclic sequence for the
$\text{K}$-homology of a crossed product by
$Z$. In the case that
$\theta $ is irrational, we use Pimsner and Voiculescu's work on
$\text{AF}$-embeddings of the
${{A}_{\theta }}$
to search for the missing generator of the even
$\text{K}$-homology.
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- Research Article
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- Copyright © Canadian Mathematical Society 2004
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