If one owns property there, do they still have to pay taxes? Do Indians get to take possession of that land?
Yes on taxes, no on possession. The last paragraph means you own it, but tribal law and regulations control it.
LINCOLN, Neb. (AP) – A federal judge ruled that the Omaha Tribe of Nebraska can collect a liquor tax on business owners in the northeast Nebraska city of Pender.
Senior U.S. District Judge Richard Kopf ruled late last week in Lincoln that Pender is inside the Omaha Reservation and thus is subject to the tribe's liquor regulations, the Sioux City (Iowa) Journal said.
conclusion:
"
Once a block of land is set aside for an Indian Reservation and no matter what happens to the title of individual plots within the area, the entire block retains its reservation status until Congress explicitly indicates otherwise.''