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Quantum Symmetry Groups of Finite Spaces

算子代数 2009-10-31 v1 数学物理 math.MP 量子代数

摘要

We determine the quantum automorphism groups of finite spaces and find they are all compact quantum groups in the sense of Woronowicz. This solves a problem of Connes for finite spaces.

关键词

引用

@article{arxiv.math/9807091,
  title  = {Quantum Symmetry Groups of Finite Spaces},
  author = {Shuzhou Wang},
  journal= {arXiv preprint arXiv:math/9807091},
  year   = {2009}
}

备注

AMSLATEX, 21 pages. To appear in Commun Math Phys