Open Access
Translator Disclaimer
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

Abstract

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).

Citation

Download Citation

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. https://doi.org/10.1215/21562261-2017-0005

Information

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

Subjects:
Primary: 18D10
Secondary: 20N99 , 37A55

Keywords: conjugate equations , ergodic actions , quantum groups

Rights: Copyright © 2017 Kyoto University

JOURNAL ARTICLE
34 PAGES


SHARE
Vol.57 • No. 3 • September 2017
Back to Top