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A Remark on Quantum Group Actions and Nuclearity

算子代数 2009-11-07 v2 量子代数

摘要

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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引用

@article{arxiv.math/0204029,
  title  = {A Remark on Quantum Group Actions and Nuclearity},
  author = {S. Doplicher and R. Longo and J. E. Roberts and L. Zsido},
  journal= {arXiv preprint arXiv:math/0204029},
  year   = {2009}
}

备注

12 pages, LateX 2e