California, easy.
Baseball:
Football:
Basketball:
Hockey:
Soccer:
New York would be the next closet, even if you include the NY teams that don't actually play in NY.
Texas
The state of Vermont does not have any official professional sports teams. Therefore this state also has no stadiums or arenas.
Washington Capitals, Washington Nationals, Washington Redskins
Soccer
Iowa has no pro teams
Three professional sport teams in California are: the L.A. Lakers, the San Fransisco 49'ers, and the L.A. Dodgers
yes there is
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Kansas does not have a professional sports team. They have four college teams (Kansas Jayhawks, Kansas State Wildcats, Pittsburg State Gorillas and the Tabor College Bluejays).
There is Baseball & Soccer
There are many professional sport teams in Ireland. They would have no special name, just Ireland.