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September 2017 Ergodic actions of compact quantum groups from solutions of the conjugate equations
Claudia Pinzari, John E. Roberts
Kyoto J. Math. 57(3): 519-552 (September 2017). DOI: 10.1215/21562261-2017-0005


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 Au(Q) and Bu(Q).


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Claudia Pinzari. John E. Roberts. "Ergodic actions of compact quantum groups from solutions of the conjugate equations." Kyoto J. Math. 57 (3) 519 - 552, September 2017.


Received: 18 December 2015; Revised: 18 April 2016; Accepted: 21 April 2016; Published: September 2017
First available in Project Euclid: 28 April 2017

zbMATH: 06774046
MathSciNet: MR3685054
Digital Object Identifier: 10.1215/21562261-2017-0005

Primary: 18D10
Secondary: 20N99 , 37A55

Keywords: conjugate equations , ergodic actions , quantum groups

Rights: Copyright © 2017 Kyoto University


Vol.57 • No. 3 • September 2017
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