For any crystallographic group
Γ
\Gamma
we show that the groups
K
i
(
Γ
)
{K_i}(\Gamma )
are isomorphic, via the forget control map, to the controlled
K
K
-groups
K
i
(
Γ
)
c
{K_i}{(\Gamma )_c}
, for all
i
⩽
1
i \leqslant 1
and for an appropriate choice of the control map. By using this result and under a mild hypothesis on the crystallographic group
Γ
\Gamma
, it is proved that
K
i
(
Γ
)
=
0
{K_i}(\Gamma ) = 0
for all
i
⩽
−
2
i \leqslant - 2
and
N
j
K
i
(
Γ
)
=
0
{N^j}{K_i}(\Gamma ) = 0
for all
i
⩽
−
1
i \leqslant - 1
and
j
>
0
j > 0
.