  In this paper, we review some recent developments of compact quantum groups
that arise as $\theta$-deformations of compact Lie groups of rank at least two.
A $\theta$-deformation is merely a 2-cocycle deformation using an action of a
torus of dimension higher than 2. Using the formula (Lemma 5.3) developed in
\cite{W2018}, we derive the noncommutative 7-sphere in the sense of Connes and
Landi \cite{CL2001} as the fixed-point subalgebra.
