Ueda, Yoshimichi A minimal action of the compact quantum group \(SU_q(n)\) on a full factor. (English) Zbl 0928.46049 J. Math. Soc. Japan 51, No. 2, 449-461 (1999). Summary: Based on the free product construction we show that a certain full factor of type \(\text{III}_{q^2}\) admits a minimal coaction of the compact quantum group \(\text{SU}_q(n)\). Minimal coactions of compact Kac algebras are also investigated by the same technique. Cited in 2 ReviewsCited in 10 Documents MSC: 46L55 Noncommutative dynamical systems 46L35 Classifications of \(C^*\)-algebras 46L40 Automorphisms of selfadjoint operator algebras 46L10 General theory of von Neumann algebras 46L54 Free probability and free operator algebras 81R50 Quantum groups and related algebraic methods applied to problems in quantum theory Keywords:free product construction; full factor; minimal coaction; compact quantum group; compact Kac algebras PDF BibTeX XML Cite \textit{Y. Ueda}, J. Math. Soc. Japan 51, No. 2, 449--461 (1999; Zbl 0928.46049) Full Text: DOI OpenURL