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K-Homology of the Rotation Algebras Aθ

Published online by Cambridge University Press:  20 November 2018

Tom Hadfield
Tom Hadfield*
Affiliation:
School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, U.K. e-mail: t.hadfield@qmul.ac.uk
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Abstract

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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.

Keywords

58B3419K3346L
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 56 , Issue 5 , 01 October 2004 , pp. 926 - 944
Copyright
Copyright © Canadian Mathematical Society 2004

References

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