  Quasi-elliptic cohomology is a variant of Tate K-theory. It is the orbifold
K-theory of a space of constant loops. For global quotient orbifolds, it can be
expressed in terms of equivariant K-theories. In this paper we show how this
theory is equipped with power operations. We also prove that the Tate K-theory
of symmetric groups modulo a certain transfer ideal classify the finite
subgroups of the Tate curve.
