A Remark on Quantum Group Actions and Nuclearity

Details A Remark on Quantum Group Actions and Nuclearity A Remark on Quantum Group Actions and Nuclearity

2002-04-02

arxiv.org/abs/math/0204029v2

Reviews in Mathematical Physics 14, N. 7 & 8 (2002), 787-796

Mathematics

Operator Algebras

12 pages, LateX 2e

Scientific paper

10.1142/S0129055X02001399

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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