Rota–Baxter operators on involutive associative algebras

In this paper, we consider Rota–Baxter operators on involutive asso-ciative algebras. We define cohomology for involutivealgebras that governs the formal deformation of operator. This cohomologycan be seen as Hochschild a certain associativealgebra with coefficients in suitable bimodule. also relate thiscohomology dendriform Finally, show standard Fard–Guo construction functor from category algebras to restricts case.