Motivated by the definition of Duflo involution for fiat 2-categories, we define certain analogues of Duflo involution for arbitrary finitary 2-categories and show that such Duflo involutions exist for two classes of finitary 2-categories associated with tree path algebras. Additionally, we describe the quiver for the algebra underlying the principal 2-representation for these two classes of finitary 2-categories.
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