In this note we show that the momentum and position operators of $\mu$-deformed quantum mechanics for $\mu \gt 0$ are not Accardi complementary in a sense that we will define. We conjecture that this is also true if $-1/2 \lt \mu \lt 0$.
"Accardi Complementarity in $\mu$-Deformed Quantum Mechanics." J. Geom. Symmetry Phys. 6 101 - 108, 2006. https://doi.org/10.7546/jgsp-6-2006-101-108