On the structure of quantum automorphism groups

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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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
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 (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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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
640411Quantum groups and noncommutative geometryChristian VoigtEngineering & Physical Sciences Research Council (EPSRC)EP/L013916/1M&S - MATHEMATICS