Quantum automorphism groups of hypergraphs

We introduce a quantum automorphism group for hypergraphs, which turns out to generalize the quantum automorphism group of Bichon for classical graphs. Further, we show that our quantum automorphism group acts on hypergraph C^* -algebras as recently defined. In particular, this action generalizes the one on graph C^* -algebras by Schmidt–Weber in 2018.