Erratum to “A Connes-amenable, dual Banach algebra need not have a normal, virtual diagonal”

Abstract

In Trans. Amer. Math. Soc., vol. 358 (2006), pp. 391–402, we claimed that, for an amenable, non-compact [ S I N ] [\mathrm {SIN}] -group G G , the dual Banach algebra W A P ( G ) ∗ \mathcal {WAP}(G)^\ast is Connes-amenable, but lacks a normal virtual diagonal. The proof presented contains a gap. In this erratum, we indicate how the faulty proof can be repaired.