Double constructions of Frobenius algebras, Connes cocycles and their duality
Double constructions of Frobenius algebras, Connes cocycles and their duality
We construct an associative algebra with a decomposition into the direct sum of the underlying vector spaces of another associative algebra and its dual space such that both of them are subalgebras and the natural symmetric bilinear form is invariant or the natural antisymmetric bilinear form is a Connes cocycle. …