Whittaker, M. (2010) C*-algebras of tilings with infinite rotational symmetry. Journal of Operator Theory, 64(2), pp. 299-319.
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Publisher's URL: http://www.mathjournals.org/jot/
Abstract
A tiling with infinite rotational symmetry, such as the Conway– Radin Pinwheel Tiling, gives rise to a topological dynamical system to which an etale equivalence relation is associated. A groupoid ´ C ∗ -algebra for a tiling is produced and a separating dense set is exhibited in the C ∗ -algebra which encodes the structure of the topological dynamical system. In the case of a substitution tiling, natural subsets of this separating dense set are used to de- fine an AT-subalgebra of the C ∗ -algebra. Finally our results are applied to the Pinwheel Tiling.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Whittaker, Professor Mike |
| Authors: | Whittaker, M. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Operator Theory |
| Publisher: | Theta |
| ISSN: | 0379-4024 |
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