Quantum symmetry groups of Hilbert modules equipped with orthogonal filtrations
arXiv:1304.3718
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.
26 pages, V2: the proof of lemma 3.7 has change / one more example / comparison with the quantum isometry group of a manifold in the sense of Goswami is done