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A Remark on Quantum Group Actions and Nuclearity

S. Doplicher·R. Longo·J. E. Roberts·L. Zsido
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Abstract

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.

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S. Doplicher, R. Longo, J. E. Roberts, L. Zsido. 2002-07-08. A Remark on Quantum Group Actions and Nuclearity. https://doi.org/10.1142/s0129055x02001399

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