  The Groenewold-Moyal plane is the algebra A_\theta(R^(d+1)) of functions on
R^(d+1) with the star-product as the multiplication law, and the commutator
[x_\mu,x_\nu] =i \theta_{\mu \nu} between the coordinate functions. Chaichian
et al. and Aschieri et al. have proved that the Poincare group acts as
automorphisms on A_\theta(R^(d+1))$ if the coproduct is deformed. (See also the
prior work of Majid, Oeckl and Grosse et al). In fact, the diffeomorphism group
with a deformed coproduct also does so according to the results of Aschieri et
al. In this paper we show that for this new action, the Bose and Fermi
commutation relations are deformed as well. Their potential applications to the
quantum Hall effect are pointed out. Very striking consequences of these
deformations are the occurrence of Pauli-forbidden energy levels and
transitions. Such new effects are discussed in simple cases.
