Minimal varieties of PI-algebras with graded involution

Abstract

Let F be an algebraically closed field of characteristic zero and G a cyclic group of odd prime order. We consider the class of finite dimensional ⁎-algebras, namely G-graded algebras endowed with graded involution ⁎, and we characterize the varieties generated by algebras of this class which are minimal with respect to the ⁎-exponent.