Ergodic actions of compact quantum groups from solutions of the conjugate equations

Autor:	Pinzari, Claudia, Roberts, John E.
Rok vydání:	2008
Předmět:	Mathematics - Operator Algebras Mathematics - Quantum Algebra
Zdroj:	Kyoto J. Math. 57, no. 3 (2017), 519-552
Druh dokumentu:	Working Paper
DOI:	10.1215/21562261-2017-0005
Popis:	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_u(Q) and B_u(Q). Comment: 32 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0808.3326 Zobrazit plný text záznamu View this record from Arxiv