"The state building" - Tradução em português

State building, no contexto abaixo, é o prédio da prefeitura, é o prédio do governo do estado ou é um prédio inespecífico?

The next day, March 25, they marched past Dexter Avenue Baptist Church. This brought back many memories for King and his wife. This time, the marchers were from different religions and a lot of them were white people.
King marched up the steps of the state building with other proud African-Americans. Rosa Parks of the Montgomery bus boycott was one. George Wallace refused to come out of the building. He did not want to listen to King and his followers.