  This contribution studies a specific deformation of algebras with
anti-involution. Starting with the observation that twisting the multiplication
of such an algebra by its anti-involution generates a Hom-associative algebra
of type II, it formulates the adequate modules theory over these algebras, and
shows that there is a faithful functor from the category of finite-dimensional
left modules of algebras with involution to finite-dimensional right modules of
Hom-associative algebras of type II. It ends with a discussion on a
diagrammatic operadic approach to generalize the study of such deformations.
