Context : An important open question is the relation between intracluster light and the halos of central galaxies in galaxy clusters . Aims : Here we report results from an on going project with the aim to characterize the dynamical state in the core of the Hydra I ( Abell 1060 ) cluster around NGC 3311 . Methods : We analyze deep long-slit absorption line spectra reaching out to \sim 25 kpc in the halo of NGC 3311 . Results : We find a very steep increase in the velocity dispersion profile from a central \sigma _ { 0 } = 150 \mbox { km s } ^ { -1 } to \sigma _ { out } \simeq 450 \mbox { km s } ^ { -1 } at R \simeq 12 \mbox { kpc } . Farther out , to \sim 25 kpc , \sigma appears to be constant at this value , which is \sim 60 \% of the velocity dispersion of the Hydra I galaxies . With its dynamically hot halo kinematics , NGC 3311 is unlike other normal early-type galaxies . Conclusions : These results and the large amount of dark matter inferred from X-rays around NGC 3311 suggest that the stellar halo of this galaxy is dominated by the central intracluster stars of the cluster , and that the transition from predominantly galaxy-bound stars to cluster stars occurs in the radial range 4 to 12 kpc from the center of NGC 3311 . We comment on the wide range of halo kinematics observed in cluster central galaxies , depending on the evolutionary state of their host clusters .