A former correction officer has been indicted for allegedly having sex with an inmate, according to the Suffolk DA’s office.

Boston man William Cooper, 37, has been charged with one count of rape of a person in custody.

Cooper — who was a correction officer at the Suffolk County South Bay House of Correction — is accused of having sex with an inmate in a caseworker office near the prisoner’s cell.

Before the alleged incident on July 7, Cooper allegedly taped trash bags to a window to block the view into the office from the hallway.

Suffolk sheriff’s investigators received a complaint from a third party the day after the incident and launched an investigation.

The inmate initially denied having any physical contact with Cooper during their 10 minutes together in the office, but then de

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