Kaminker, J., Putnam, I. F. and Whittaker, M. F. (2017) K-theoretic duality for hyperbolic dynamical systems. Journal für die Reine und Angewandte Mathematik (Crelles Journal), 2017(730), pp. 263-299. (doi: 10.1515/crelle-2014-0126)
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Abstract
The K-theoretic analog of Spanier–Whitehead duality for noncommutative C*-algebras is shown to hold for the Ruelle algebras associated to irreducible Smale spaces. This had previously been proved only for shifts of finite type. Implications of this result as well as relations to the Baum–Connes conjecture and other topics are also considered.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Whittaker, Professor Mike |
| Authors: | Kaminker, J., Putnam, I. F., and Whittaker, M. F. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal für die Reine und Angewandte Mathematik (Crelles Journal) |
| Journal Abbr.: | J. Reine Angew. Math. |
| Publisher: | De Gruyter |
| ISSN: | 0075-4102 |
| ISSN (Online): | 1435-5345 |
| Published Online: | 02 May 2015 |
| Copyright Holders: | Copyright © 2017 De Gruyter |
| First Published: | First published in Journal für die Reine und Angewandte Mathematik (Crelles Journal) 2017(730):263-299 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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