T-ideal of generalized identities for a class of primitive algebras with involution

The T-ideal of generalized polynomial identities of any primitive algebra $R$ with involution is found, provided $R$ is an algebra over an algebraically closed field $F$ of characteristic different from 2, the ring $R$ contains no primitive symmetric idempotents, and there exists an idempotent $e$ such that $eRe=eF$.