Quantum symmetry groups of Hilbert modules equipped with orthogonal filtrations
Résumé
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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