Family members of a man incarcerated at Stateville Correctional Center who died during a heat wave there are suing the state’s prison system in federal court. The wrongful death lawsuit was filed Thursday on behalf of the estate of Michael Broadway, who lost consciousness in his top-level cell in June as temperatures inside the dilapidated prison reached dangerous levels, according to the civil complaint. Broadway’s family is suing the Illinois Department of Corrections for allegedly subjecting him to inhumane living conditions and inadequate medical care.