KSGNS construction for $\tau$-maps on S-modules and $\mathfrak{K}$-families

Santanu Dey, Harsh Trivedi

We introduce S-modules, generalizing the notion of Krein $C^{\ast }$-modules, where a fixed unitary replaces the symmetry of Krein $C^{\ast }$-modules. The representation theory on S-modules i…