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On the structure of quantum automorphism groups

  • Christian Voigt EMAIL logo
Veröffentlicht/Copyright: 3. April 2015

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 reduced C*-algebras of functions on the quantum permutation groups Sn+ 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.

Award Identifier / Grant number: EP/L013916/1

Funding statement: This work was supported by the Engineering and Physical Sciences Research Council Grant EP/L013916/1 and the Polish National Science Centre grant no. 2012/06/M/ST1/00169.

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Received: 2014-11-14
Revised: 2014-11-30
Published Online: 2015-4-3
Published in Print: 2017-11-1

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