On spectral triples on crossed products arising from equicontinuous actions

Hawkins, A., Skalski, A., White, S. and Zacharias, J. (2013) On spectral triples on crossed products arising from equicontinuous actions. Mathematica Scandinavica, 113(2), pp. 262-291.

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Abstract

The external Kasparov product is used to construct odd and even spectral triples on crossed products of C ∗ -algebras by actions of discrete groups which are equicontinuous in a natural (topological) sense. When the group in question is Z this gives another viewpoint on the spectral triples introduced by Belissard, Marcolli and Reihani. We investigate the properties of this construction and apply it to produce spectral triples on the Bunce-Deddens algebra arising from the odometer action on the Cantor set and some other crossed products of AF-algebras.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:White, Professor Stuart and Zacharias, Dr Joachim
Authors: Hawkins, A., Skalski, A., White, S., and Zacharias, J.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Mathematica Scandinavica
ISSN:0025-5521
ISSN (Online):1903-1807
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