Quantum symmetry groups of Hilbert modules equipped with orthogonal filtrations

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-Skalskiʼs quantum symmetry group of a C⁎-algebra equipped with an orthogonal filtration and Goswamiʼs quantum isometry group of an admissible spectral triple.