Hilbertian Frobenius algebras
Hilbertian Frobenius algebras
Commutative Hilbertian Frobenius algebras are those commutative semigroup objects in the monoidal category of Hilbert spaces, for which the Hilbert adjoint of the multiplication satisfies the Frobenius compatibility relation, that is, this adjoint “comultiplication” is a bimodule map. In this note we show that the Frobenius relation forces the multiplication …