Based on the free product construction we show that a certain full factor of type admits a minimal coaction of the compact quantum group . Minimal coactions of compact Kac algebras are also investigated by the same technique.
Yoshimichi UEDA. "A minimal action of the compact quantum group on a full factor." J. Math. Soc. Japan 51 (2) 449 - 461, April, 1999. https://doi.org/10.2969/jmsj/05120449