Quantum Symmetries of Graph C*-algebras Having Maximal Permutational Symmetry · arXivDesk
2406.13484Jun 19, 2024The article will appear in the International Journal of Mathematics. It was previously titled "Unitary Easy Quantum Groups Arising as Quantum Symmetries of Graph C*-algebras", but the title has been changed based on the referee's suggestion. The introduction and preliminaries have been shortened, and the statements of the lemmas, propositions in the main section have been revised for clarity
Quantum Symmetries of Graph C*-algebras Having Maximal Permutational Symmetry
Quantum symmetry of a graph C∗-algebra C∗(Γ) corresponding to a finite graph Γ has been explored by several mathematicians within different categories in the past few years. In this article, we establish that there are exactly three families of compact matrix quantum groups, containing the symmetric group on the set of edges of the underlying graph Γ
Nearby in the stack
, that can be achieved as the quantum symmetries of graph
C∗
-algebras in the category introduced by Joardar and Mandal. Moreover, we demonstrate that there does not exist any graph