In 1969, Carver was elected to the Peoria City Council.[3] After four years on City Council, Carver was elected Mayor of Peoria on April 3, 1973.[3] He was re-elected on April 5, 1977.[3] During his second term in office, he served as president of the United States Conference of Mayors 1979–80 and president of the National Conference of Republican Mayors.[4]In 1980, he was a candidate to be United States Senator from Illinois, but lost the Republicanprimary to Dave O'Neal.[3] He was re-elected to a third term as Mayor of Peoria on April 7, 1981, and subsequently held that office until 1984.[3]
Upon leaving government service in 1988, Carver became the president of ZF Industries while continuing to own Carver Lumber Company.[5] He became President and CEO of MST America in January 1995.[5] From November 1998 to April 2000, he was President and CEO of RPP America.[5] He was a member of the Board of Directors of Competitive Technologies, Inc. from 2000 to 2007.[5]
Carver Arena, a multi-purpose arena located in the Peoria Civic Center, is named after Carver. The first stages of the convention center were built during his tenure as Mayor.