Quantum symmetry groups of Hilbert modules equipped with orthogonal filtrations |
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| Authors: | Manon Thibault de Chanvalon |
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| Affiliation: | Laboratoire de Mathématiques (UMR 6620), Université Blaise Pascal, Complexe universitaire des Cézeaux, 63171 Aubière Cedex, France |
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| Abstract: | We define and show the existence of the quantum symmetry group of a Hilbert module equipped with an orthogonal filtration. Our construction unifies the constructions of Banica–Skalski?s quantum symmetry group of a C?-algebra equipped with an orthogonal filtration and Goswami?s quantum isometry group of an admissible spectral triple. |
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| Keywords: | Compact quantum group Hilbert module Quantum symmetry group Spectral triple |
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