If you were the victim of a violent crime, reported it to the authorities and assisted in the investigation or prosecution of the crime, you may be eligible for a U visa. The U visa is one way to obtain permanent residency (a green card) in the US. A U visa recipient is also eligible for a waiver of many different grounds of inadmissibility, including some crimes, alien smuggling, and entry without inspection.
If you were the victim of human trafficking, and cooperate with law enforcement, you may be eligible to receive lawful permanent residency with a T visa. A T visa recipient is also eligible for a waiver of many different grounds of inadmissibility.