Let G be the symmetric group on n letters. Procesi and Formanek have shown that C n , the center of the generic division algebra of degree n defined over a field F, is stably isomorphic to $F(B_{n})^{G}$ where B n is a specific ZG-lattice. We refer to B n as the Procesi–Formanek lattice. The question of the stable rationality of C n is a long standing problem for which few results are known. Let F be an algebraically closed field of characteristic zero, let p be an odd prime, and let $B_{p}^{*}=Hom_{Z}(B_{p},Z)$ be the dual of the Procesi–Formanek lattice. We show that $F(B_{p}^{*})^{G}$ is stably rational over F. An interesting question is whether there exists a connection between C p and $F(B_{p}^{*})^{G}$ .