This entry is about the term of “class function” as it is used in algebraic contexts. (Such class functions are usually set-maps.) For the notion of the same name in set theory see at class function (set theory).
A function on a group is a class function if it is invariant under conjugation action, i.e. it is equivalent to a function on the set of conjugacy classes.
Every group character is in particular a class function.
See also
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