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arxiv: math/0204029 · v2 · submitted 2002-04-02 · 🧮 math.OA · math.QA

A Remark on Quantum Group Actions and Nuclearity

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keywords nuclearalgebragroupquantumactionsactsboundedcompact
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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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