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We first define a Rohlin property for one-parameter automorphism groups of the hyperfinite type Hi factor as an analogue of Kishimoto's definition for one-parameter automorphism groups of unital simple C*-algebras. Secondly we prove equivalence between the Rohlin property and the cohomology vanishing in an appropriate central sequence algebra, which is a variation of Kishimoto's theorem in C*-algebra theory.

A Rohlin property for one-parameter automorphism groups of the hyperfinite {$\rm II\sb 1$} factor