Conn. Gen. Stat. § 54-182: State's rights not waived.

Nothing contained in this chapter shall be deemed to constitute a waiver by the state of its right, power or privilege to try such demanded person for crime committed within this state, or of its right, power or privilege to regain custody of such person by extradition proceedings or otherwise for the purpose of trial, sentence or punishment for any crime committed within this state, nor shall any proceedings had under this chapter which result in, or fail to result in, extradition be deemed a waiver by this state of any of its rights, privileges or jurisdiction.