  Gas accretion by a galaxy's central super massive black hole (SMBH) and the
resultant energetic feedback by the accreting active galactic nucleus (AGN) on
the gas in and around a galaxy, are two tightly intertwined but competing
processes that play a crucial role in the evolution of galaxies. Observations
of galaxy clusters have shown how the plasma jets emitted by the AGN heat the
intra-cluster medium (ICM), preventing cooling of the cluster gas and thereby
the infall of this gas onto the central galaxy. On the other hand, outflows of
multi-phase gas, driven by the jets, can cool as they rise into the ICM,
leading to filaments of colder gas. The fate of this cold gas is unclear, but
it has been suggested it plays a role in feeding the central SMBH. We present
the results of re-processed CO(2-1) ALMA observations of the cold molecular gas
in the central regions of NGC 1275, the central galaxy of the Perseus cluster
and hosting the radio-loud AGN 3C 84 (Perseus A). These data show, for the
first time, in detail how kpc-sized cold gas filaments resulting from
jet-induced cooling of cluster gas are flowing towards the galaxy centre and
how they feed the circumnuclear accretion disc (100 pc diameter) of the SMBH.
Thus, cooled gas can, in this way, play a role in feeding the AGN. These
results complete our view of the feedback loop of how an AGN can impact on its
surroundings and how the effects from this impact maintain the AGN activity.
