As is common, the English website is useless and one must visit the Japanese one, which says that traffic on the JR Central portion of the Takayama Main Line, which includes Takayama station, is currently suspended between Sakakami and Inotani (see the station list). Substitute buses are available. The JR West section (Inotani to Toyama) is operating normally.
Regarding the Wide View Hida, it is currently not running between Toyama and Hida-Furukawa, so if you want to go through Toyama, you would first need to take an ordinary train from Toyama to Inotani, then the substitute buses to Sakakami, then another ordinary train to Hida-Furukawa and the Hida to Takayama (or possibly just ordinary trains from Sakakami to Takayama). If you go through Nagoya, everything is operating normally.
Full operations are scheduled to be restored in late November.