Quantum symmetry of graph C∗-algebras associated with connected graphs
2018 ◽
Vol 21
(03)
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pp. 1850019
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We define a notion of quantum automorphism groups of graph [Formula: see text]-algebras for finite, connected graphs. Under the assumption that the underlying graph does not have any multiple edge or loop, the quantum automorphism group of the underlying directed graph in the sense of Banica [Quantum automorphism groups of homogeneous graphs, J. Funct. Anal. 224 (2005) 243–280] (which is also the symmetry object in the sense of [S. Schmidt and M. Weber, Quantum symmetry of graph [Formula: see text]-algebras, arXiv:1706.08833 ] is shown to be a quantum subgroup of quantum automorphism group in our sense. Quantum symmetries for some concrete graph [Formula: see text]-algebras have been computed.
2018 ◽
Vol 61
(4)
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pp. 848-864
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2016 ◽
Vol 160
(3)
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pp. 437-462
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2016 ◽
Vol 38
(4)
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pp. 1588-1600
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