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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Abstract
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 |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| 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: | 0379-4024 |
| ISSN (Online): | 1841-7744 |
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