A REMARK ON QUANTUM GROUP ACTIONS AND NUCLEARITY
Let H be a compact quantum group with faithful Haar measure and bounded counit. If α is an action of H on a C*- algebra A, we show that A is nuclear if and only if the fixed-point subalgebra Aα is nuclear. As a consequence H is a nuclear C*-algebra.
Dedicated to Huzihiro Araki on the occasion of his seventieth birthday.