Quantum Automorphism Groups of Hypergraphs (2405.09894v2)

Abstract: 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.