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math.OA2026
Morita equivalence for quantum graphs
Alexandros Chatzinikolaou, Gage Hoefer, Nikolaos Koutsonikos-Kouloumpis +1
We introduce an operator-algebraic framework for Morita equivalence of quantum graphs based on -equivalence of operator systems introduced by Eleftherakis, Kakariadis and Todor…
math.OA2025
The hypergraph isomorphism game, Hopf algebras and Galois extensions
Georgios Baziotis, Alexandros Chatzinikolaou, Gage Hoefer
We develop an algebraic and operational framework for quantum isomorphisms of hypergraphs, using tools from compact quantum group theory. We introduce a new synchronous version of…