That is correct- in most cases (and definitely in Minnesota) you do not have to file a nonresident return unless you actually worked in that state. (technically, a state only has jurisdiction if they carry on business activity in the state- and having employees is a concrete business activity- so employees always pay income tax to the state where they work (if that state taxes income). States also tax residents on all income regardless of where earned, but to avoid double tax at the state level, the resident state gives a credit for the taxes paid to the nonresident state.) @thaliad
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