Context : Aims : Using the deepest ( 370 ksec ) Chandra observation of a high-redshift galaxy cluster , we perform a detailed characterization of the intra-cluster medium ( ICM ) of WARPJ1415.1+3612 at z =1.03 , particularly its core region . We also explore the connection between the ICM core properties and the radio/optical properties of the brightest cluster galaxy ( BCG ) . Methods : We perform a spatially resolved analysis of the ICM to obtain temperature , metallicity and surface brightness profiles over the 8–400 kpc radial range . We measure the following cool-core diagnostics : central temperature drop , central metallicity excess , central cooling time , and central entropy . Using the deprojected temperature and density profiles , we accurately derive the cluster hydrostatic mass at different overdensities . In addition to the X-ray data , we use archival radio VLA imaging and optical GMOS spectroscopy of the central galaxy to investigate the feedback between the central galaxy and the ICM . Results : Our spatially resolved spectral analysis shows a significant temperature drop from a maximum of 8.0 keV to a projected core value T _ { c } = 4.6 \pm 0.4 keV , and a remarkably high central iron abundance peak , Z _ { Fe,c } = 3.60 ^ { +1.50 } _ { -0.85 } Z _ { \odot } , measured within a radius of 12 kpc . We measure M _ { 500 } = M ( r < R _ { 500 } ) =2.4 \pm 0.4 M _ { \odot } and a corresponding gas fraction f _ { gas } =0.10 \pm 0.02 . The central cooling time is shorter than 0.1 Gyr and the entropy K _ { c } is equal to 9.9 keV cm ^ { 2 } . We detect a strong [ OII ] emission line in the optical spectra of the BCG with an equivalent width of -25 Å , for which we derive a star formation rate within the range 2 - 8 ~ { } M _ { \odot } yr ^ { -1 } . The VLA data reveals a central radio source coincident with the BCG with a luminosity L _ { 1.4 GHz } =2.0 \times 10 ^ { 25 } W Hz ^ { -1 } , and a faint one-sided jet-like feature with an extent of \sim 80 kpc . We do not find clear evidence for cavities associated to the radio AGN activity . Conclusions : Our analysis shows that WARPJ1415 has a well developed cool-core with ICM properties similar to those found in the local Universe . Its properties and the clear sign of feedback activity found in the central galaxy in the optical and radio bands , show that feedback processes are already established at z \sim 1 ( a lookback time of 7.8 Gyr ) . In addition , the presence of a strong metallicity peak shows that the central regions have been promptly enriched by star formation processes in the central galaxy already at z > 1 . Our results significantly constrain the timescale for the formation and self-stabilization of cool-cores .