  Two global invariants of two dimensional gyrokinetics are shown to be
"rugged" (still conserved by the dynamics) concerning both Fourier and
Hankel/Bessel Galerkin truncations. The truncations are made to keep only a
finite range of wavenumber $\textbf{k}$ and the Hankel variable $b$ (or $z$ in
the Bessel series). The absolute equilibria are used for the discussion of the
spectral transfers in the configuration-velocity scale space of kinetic
magnetized plasma turbulence. Some interesting aspects of recent numerical
results, which were not well understood, are explained with more satisfaction.
