Voigt, C. (2017) On the structure of quantum automorphism groups. Journal für die Reine und Angewandte Mathematik (Crelles Journal), 732, pp. 255-273. (doi: 10.1515/crelle-2014-0141)
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Abstract
We compute the K-theory of quantum automorphism groups of finite dimensional C∗-algebras in the sense of Wang. The results show in particular that the C∗-algebras of functions on the quantum permutation groups S+n are pairwise non-isomorphic for different values of n. Along the way we discuss some general facts regarding torsion in discrete quantum groups. In fact, the duals of quantum automorphism groups are the most basic examples of discrete quantum groups exhibiting genuine quantum torsion phenomena.
| Item Type: | Articles |
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| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Voigt, Professor Christian |
| Authors: | Voigt, C. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal für die Reine und Angewandte Mathematik (Crelles Journal) |
| Publisher: | Walter de Gruyter |
| ISSN: | 1435-5345 |
| ISSN (Online): | 0075-4102 |
| Published Online: | 03 April 2015 |
| Copyright Holders: | Copyright © 2015 Walter de Gruyter |
| First Published: | First published in Journal Fur Die Reine Und Angewandte Mathematik |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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