Quantum symmetry groups of Hilbert modules equipped with orthogonal filtrations

Manon Thibault de Chanvalon (1)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal

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.

Domaines: Algèbres quantiques [math.QA]; Algèbres d'opérateurs [math.OA]

Manon Thibault de Chanvalon. Quantum symmetry groups of Hilbert modules equipped with orthogonal filtrations. 2013. ⟨hal-00812748v2⟩