Near-infrared properties of asymptotic giant branch stars in nearby dwarf elliptical galaxy NGC 205

Aims. We investigated the distribution of resolved asymptotic giant branch (AGB) stars over a much larger area than covered by previous near-infrared studies in the nearby dwarf elliptical galaxy NGC 205. Methods. Using data obtained with the WIRCam near-infrared imager of the CFHT, we selected the AGB stars in the JHKs color − magnitude diagrams, and separated the C stars from M-giant stars in the JHKs color − color diagram. Results. We identified 1,550 C stars in NGC 205 with a mean absolute magnitude of ⟨ MKs ⟩ = −7.49 ± 0.54, and colors of ⟨ (J − Ks)0 ⟩ = 1.81 ± 0.41 and ⟨ (H − Ks)0 ⟩ = 0.76 ± 0.24. The ratio of C stars to M-giant stars was estimated to be 0.15 ± 0.01 in NGC 205, and the local C/M ratios for the southern region are somewhat lower than those for the northern region. The (J − Ks) color distributions of AGB stars contain the main peak of the M-giant stars and the red tail of the C stars. A comparison of the theoretical isochrone models with the observed color distribution indicates that most of the bright M-giant stars in NGC 205 were formed at log (tyr) ~ 9.0−9.7. The logarithmic slope of the MKs luminosity function for M-giant stars was estimated to be 0.84 ± 0.01, which is comparable with dwarf elliptical galaxies NGC 147 and NGC 185. Furthermore, we found that the logarithmic slopes of the MKs luminosity function for C and M-giant stars are different to places, implying a different star formation history within NGC 205. The bolometric luminosity function for M-giant stars extends to Mbol = −6.0 mag, and that for C stars spans −5.6