  In the framework of the Asymptotic Safety scenario for quantum gravity, we
analyze quantum gravity modifications to the thermal characteristics of a thin
accretion disk spiraling around a renormalization group improved (RGI-) Kerr
black hole in the low energy regime. We focused on the quantum effects on the
location of the innermost stable circular orbit (ISCO), the energy flux from
the disk, the disk temperature, the observed redshifted luminosity, and the
accretion efficiency. The deviations from the classical general relativity due
to quantum effects are described for a free parameter that arises in the
improved Kerr metric as a consequence of the fact that the Newton constant
turns into a running coupling $G(r)$ depending on the energy scale. We find
that, both for rapid and slow rotating black holes with accretion disks in
prograde and retrograde circulation, increases in the value of this parameter
are accompanied by a decreasing of the ISCO, by a lifting of the peaks of the
radiation properties of the disk and by an increase of the accretion mass
efficiency, as compared with the predictions of general relativity. Our results
confirm previously established findings in Ref. \cite{r17} where we showed that
these quantum gravity effects also occur for an accretion disk around a
RGI-Schwarzschild black hole.
