Among more than 200 quasars known at z \gtrsim 6 , only one object , J0100+2802 ( z=6.327 ) , was found hosting a > 10 ^ { 10 } M _ { \odot } super-massive black hole ( SMBH ) .
In order to investigate the host galaxy properties of J0100+2802 , we performed multi-band ALMA observations , aiming at mapping the dust continuum , [ C ii ] and CO ( 6-5 ) emission lines with sub-kiloparsec scale resolution , as well as detecting high-J CO lines in CO ( 11-10 ) , CO ( 10-9 ) , and CO ( 7-6 ) .
The galaxy size is measured to be R _ { major } = 3.6 \pm 0.2 kpc from the high resolution continuum observations .
No ordered motion on kilo-parsec scales was found in both [ C ii ] and CO ( 6-5 ) emissions .
The velocity dispersion is measured to be 161 \pm 7 km s ^ { -1 } , \sim 3 times smaller than that estimated from the local M- \sigma relation .
In addition , we found that the CO emission is more concentrate ( a factor of 1.8 \pm 0.4 ) than the [ C ii ] emission .
Together with CO ( 2-1 ) detected by VLA , we measured the CO Spectral Line Energy Distribution ( SLED ) , which is best fit by a two-components model , including a cool component at \sim 24 K with a density of n _ { ( H _ { 2 } ) } =10 ^ { 4.5 } cm ^ { -3 } , and a warm component at \sim 224 K with a density of n _ { ( H _ { 2 } ) } =10 ^ { 3.6 } cm ^ { -3 } .
We also fitted the dust continuum with a graybody model , which indicates that it has either a high dust emissivity \beta \gtrsim 2 or a hot dust temperature T _ { dust } \gtrsim 60 K , or a combination of both factors .
The highly excited CO emission and hot dust temperature suggest that the powerful AGN in J0100+2802 could contribute to the gas and dust heating although future observations are needed to confirm this .