The co-founder of the Rise Above Movement is among those arrested on charges that include trying to incite riots.
Police arrested three people at the protests on the Chapel Hill campus Thursday night.
The singer says playing the band's songs at Trump rallies falsely implies it endorses him.
The Trump administration condemned police attacks on demonstrators as hundreds have been killed.
A few pro-Trump rallies were held to mark the president's visit, but they were dwarfed by massive anti-Trump gatherings.
The demonstrations included a giant ballon depicting Trump as a baby.
Police canceled the Patriot Prayer’s rally permit as violence broke out in Portland's downtown.
Rep. Jayapal (D-Wash.) and hundreds of others were arrested while demonstrating against Trump’s zero tolerance policy.
The movement demands lawmakers do more to help Americans in poverty, from supporting a $15 minimum wage to ending systemic racism.
About 200 demonstrators squared off with police in riot gear overnight, and more protests are planned for Saturday.