Fixed Point Algebras for Easy Quantum Groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Fixed Point Algebras for Easy Quantum Groups
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| Creator |
Gabriel, O.
Weber, M. |
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| Description |
Compact matrix quantum groups act naturally on Cuntz algebras. The first author isolated certain conditions under which the fixed point algebras under this action are Kirchberg algebras. Hence they are completely determined by their K-groups. Building on prior work by the second author, we prove that free easy quantum groups satisfy these conditions and we compute the K-groups of their fixed point algebras in a general form. We then turn to examples such as the quantum permutation group Sn⁺, the free orthogonal quantum group On⁺ and the quantum reflection groups Hns⁺. Our fixed point-algebra construction provides concrete examples of free actions of free orthogonal easy quantum groups, which are related to Hopf-Galois extensions.
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| Date |
2019-02-16T09:32:04Z
2019-02-16T09:32:04Z 2016 |
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| Type |
Article
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| Identifier |
Fixed Point Algebras for Easy Quantum Groups / O. Gabriel, M. Weber // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 44 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 46L80; 19K99; 81R50 DOI:10.3842/SIGMA.2016.097 http://dspace.nbuv.gov.ua/handle/123456789/147862 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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