A Remark on Quantum Group Actions and Nuclearity
  Let H be a compact quantum group with faithful Haar measure and bounded counit. If H acts on a C*-algebra A, we show that A is nuclear if and only if its fixed-point subalgebra is nuclear. As a consequence H is a nuclear C*-algebra. 
S. Doplicher, R. Longo, J.E. Roberts, L. Zsido