Whether Indian country within a State is presumptively subject to state criminal jurisdiction unless federal law or tribal self-government principles displace that authority.
Holding
Yes. Indian country is part of the State in which it lies, so a State generally has criminal jurisdiction there unless federal law preempts that jurisdiction or state action unlawfully infringes tribal self-government.
Reasoning
The Court rejected the premise that reservations are territorially separate from the surrounding State. Although Worcester v. Georgia reflected an early understanding of Indian country as distinct from state territory, the Court said that understanding was abandoned by the late nineteenth century. Later cases treat reservations as part of the State, subject to state authority except where federal law forbids it.
State sovereignty supplies the baseline rule. A State ordinarily has authority to enforce its criminal laws throughout its territory, and Indian country is within that territory. The Court relied especially on United States v. McBratney and Draper v. United States, which recognize state authority over non-Indian-on-non-Indian crimes in Indian country.
The Court therefore framed the case as a question of preemption, not one requiring Oklahoma to find an affirmative congressional grant of power. State jurisdiction may be displaced either by ordinary federal preemption or by the separate rule against unlawful interference with tribal self-government.