We prove, that two concepts of weak containment do not coincide, contradicting results in [1, Lemma 3.3 and Proposition 3.4]. The statement of Theorem 3.5 remains valid. There exist infinite tall compact groups
G
G
(i.e. the set
{
σ
∈
G
^
,
dim
σ
=
n
}
\{ \sigma \in \hat G,\dim \sigma = n\}
is finite for each positive integer
n
n
) having the mean-zero weak containment property. Such groups do not have the dual Bohr approximation property or
A
P
(
G
^
)
≠
C
δ
∗
(
G
)
AP(\hat G) \ne C_\delta ^*(G)
.