Ergodic actions of compact quantum groups fromsolutions of the conjugate equations
Kyoto Journal of Mathematics, ISSN: 2156-2261, Vol: 57, Issue: 3, Page: 519-552
2017
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Article Description
We use a tensor C∗-category with conjugates and two quasitensor functors into the category of Hilbert spaces to define a ∗-algebra depending functorially on this data. If one of them is tensorial, we can complete in the maximal C∗-norm. A particular case of this construction allows us to begin with solutions of the conjugate equations and associate ergodic actions of quantum groups on the C∗-algebra in question. The quantum groups involved are A(Q) and B(Q).
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85025826349&origin=inward; http://dx.doi.org/10.1215/21562261-2017-0005; https://projecteuclid.org/journals/kyoto-journal-of-mathematics/volume-57/issue-3/Ergodic-actions-of-compact-quantum-groups-from-solutions-of-the/10.1215/21562261-2017-0005.full; https://dx.doi.org/10.1215/21562261-2017-0005; https://projecteuclid.org/access-suspended
Duke University Press
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