A note on crossed products of rotation algebras

Bonicke, C. , Chakraborty, S., He, Z. and Liao, H.-C. (2021) A note on crossed products of rotation algebras. Journal of Operator Theory, 85(2), pp. 391-402. (doi: 10.7900/jot.2019sep08.2283)

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We compute the K -theory of crossed products of rotation algebras A θ , for any real angle θ , by matrices in S L ( 2 , Z ) with infinite order. Using techniques of continuous fields, we show that the canonical inclusion of A θ into the crossed products is injective at the level of K 0 -groups. We then give an explicit set of generators for the K 0 -groups and compute the tracial ranges concretely.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Bonicke, Dr Christian
Authors: Bonicke, C., Chakraborty, S., He, Z., and Liao, H.-C.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Operator Theory
Publisher:Theta Foundation
ISSN (Online):1841-7744
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