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We consider the non-commutative(NC) Kerr black hole where the mass of thecentral object is smeared over a region of linear size $\sqrt{b}$, $b$ is thestrength of the NC character of spacetime. For the spacetime underconsideration, we calculate the amplification factor for scalar,electromagnetic, and gravitational fields, and study various properties of athin accretion disk. The expression for the amplification factor is obtainedwith the help of the asymptotic matching technique. The amplification factor isthen plotted against frequency for various values of the spin $a$ and the NCparameter $b$. We find that though the amplification factor increases with $a$but decreases with $b$, the cut-off frequency up to which we have amplificationincreases with $a$ and $b$. We then study the effect of the spin and the NCnature of spacetime on the energy flux, temperature distribution, emissionspectrum, energy conversion efficiency, and the radius of the innermost stablecircular orbit of a thin accretion disk around the black hole with the help ofthe steady-state Novikov-Thorne model. Our study reveals that these quantitiesincrease with the spin and the NC parameter. We also find that the disk aroundthe NC Kerr black is hotter and more luminous than that around the Kerr blackhole and the NC Schwarzschild black hole. We can conclusively infer from ourinvestigation that the NC nature of spacetime has a significant impact on thesuperradiance phenomenon as well as on various properties of thin accretiondisks.

Superradiance scattering of scalar, electromagnetic, and gravitational fields and thin accretion disk around non-commutating Kerr black hole