Correction to: “a∗-closures to completely distributive lattice-ordered groups”
Andrew M. W. Glass, W. Charles Holland, Stephen H. McCleary · Pacific Journal of Mathematics · 1975
The converse direction of Theorem 5.1 (see Pacific Journal of Mathematics, 59 (No. 1), 1975) is easily seen to be false.The proof is complete nonsense as Proposition 5.2 does not apply.However, the converse direction of Theorem 5.1 is true under the added assumption that (H, T) also has closed stabilizers.Moreover, wherever this direction of Theorem 5.1 has been used in the rest of the paper, the extra hypothesis is available (often courtesy of Proposition 5.2), so the remainder of the paper requires no change.