  In this paper, we show that one of the conditions in the definition of weak
tracial Rokhlin property for finite group actions on simple unital C*-algebras
can be replaced by a seemingly weaker condition, or a seemingly stronger
condition. As a corollary, this condition is redundant whenever the C*-algebra
is not purely infinite. We also give a sufficient condition for the weak
tracial Rokhlin property for finite group actions on simple unital C*-algebras
to imply the tracial Rokhlin property.
