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We present sensitive, high-resolution, X-ray imaging from Chandra of thehigh-redshift radio galaxy 4C 41.17 (z=3.8). Our 150-ks Chandra exposuredetects strong X-ray emission from a point source coincident with the nucleusof the radio galaxy. In addition we identify extended X-ray emission with aluminosity ~1e45 erg/s covering a 100kpc (15'') diameter region around theradio galaxy. The extended X-ray emission follows the general distribution ofradio emission in the radio lobes of this source, and the distribution of agiant Lyman-alpha emission line halo, while the spectrum of the X-ray emissionis non-thermal and has a power law index consistent with that of the radiosynchrotron. We conclude that the X-ray emission is most likely Inverse-Comptonscattering of far-infrared photons from a relativistic electron populationprobably associated with past and current activity from the central object.Assuming an equipartition magnetic field the CMB energy density at z=3.8 canonly account for at most 40% of the Inverse-Compton emission. Publishedsubmillimeter maps of 4C 41.17 have detected an apparently extended andextremely luminous far-infrared emission around the radio galaxy. Wedemonstrate that this photon component and its spatial distribution, incombination with the CMB can reproduce the observed X-ray luminosity. Wepropose that photo-ionization by these Inverse-Compton X-ray photons plays asignificant role in this system, and provides a new physical feedback mechanismto preferentially affect the gas within the most massive halos at highredshift. This is the highest redshift example of extended X-ray emissionaround a radio galaxy currently known. (Abridged)Comment: 26 pages, 6 Postscript Figures, Accepted ApJ Main Journa

Extended X‐Ray Emission around 4C 41.17 atz= 3.8