A Remark on Quantum Group Actions and Nuclearity

Sergio Doplicher, Roberto Longo, John E. Roberts, Laszlo Zsido
April 02, 2002
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.