The University of Virginia, after receiving guidance from the local police, on Monday reinstated the fraternity at the center of a Rolling Stone magazine article that detailed gang rape allegations that later came into question.

“We welcome Phi Kappa Psi, and we look forward to working with all fraternities and sororities in enhancing and promoting a safe environment for all,” Teresa A. Sullivan, the president of the university, said in a statement.

The November article in Rolling Stone detailed a student’s account of a 2012 gang rape at Phi Kappa Psi and quickly became a flash point for the increasingly high-profile issue of sexual misconduct on college campuses. After the article, Dr. Sullivan suspended all fraternities through the end of the year and contacted the Charlottesville Police Department to request a criminal investigation.

But the account of the student, identified only as “Jackie,” started to crumble as various people and news organizations began to investigate it, and her friends contested details. Rolling Stone then published a note to readers from Will Dana, the managing editor, stating, “In the face of new information, there now appear to be discrepancies in Jackie’s account, and we have come to the conclusion that our trust in her was misplaced.”