Tenn. Code Ann. § 11-18-103

The jurisdiction of the state of Tennessee, both civil and criminal, over persons upon the lands acquired for the purposes named in § 11-18-101, or similar purposes, shall not be affected or changed by their permanent acquisition and administration by the United States for such purposes, except so far as the punishment of offenses against the United States is concerned, the intent and meaning of this section being that the state of Tennessee shall not, by reasons of such acquisition and administration, lose its jurisdiction nor the inhabitants thereof their rights and privileges as citizens or be absolved from their duties as citizens of the state.