  It is often expected that one cannot treat spacetime as a continuous manifold
as the Planck scale is approached, because of to possible effects due to a
quantum theory of gravity. There have been several proposals to model such a
deviation from the classical behaviour, one of which is noncommutativity of
spacetime coordinates. In this context, the non-commutativity scale is seen as
an observer-independent length scale. Of course, such a scale impose a
modification of ordinary relativistic symmetries, which now need to be deformed
to accommodate this fundamental scale. The $\kappa$-Poincar\'e algebra is an
example of this deformation. In what follows I will briefly describe a
construction of a $\kappa$-deformed complex scalar field theory, while at the
same time shedding light on the behaviour of discrete and continuous symmetries
in this formalism. This in turn will open the way to the study of the
application of this formalism to actual physical processes. I will then
conclude with some comments and prospects for the future.
