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Corollary 2 [3]. In the statement, Ch(A) n <p'(Spec B) should be replaced by (co <p'(Spec B))e. The proof of the corollary in this form goes as follows: Since r(S) = v(S) for each S E B, [3, Proposition 2] implies co Spec B = K(B). Hence cö(<p'(Spec B)) <p'(K(B)), by the properties of <p'. By [3, Proposition 1], co(<p'(Spec B)) = P. The proof that P' c X remains unchanged. Now let q>: A -* L(H) be a subnormal representation and X = Spec A. Let B =<p(A) and Y = <p'(Spec B) c X. It follows from the proof of Corollary 2 that Pe c Y c P. Put Ay = {a\Y: a E A). AY is a (not necessarily closed) subalgebra of C(Y) which contains constants and separates points of Y. Ch(AY) denotes the Choquet boundary of AY (see [2, p. 38] for the definition). Observe that a( Y) = spÄ <p(a) for each a £ A. Thus ||a|T|| = sup{K>0| :yEY} = r(<p(a)), a E A. Since the operators <p(a), a E A, are subnormal, r(tp(a)) — ||<p(a)||, a E A.

Erratum to: “Antisymmetry and contractive representations of function algebras” [Proc. Amer. Math. Soc. 72 (1978), no. 2, 319–326; MR 80a:46028]