  We construct a comparison map from the topological K-theory of the
dg-category of twisted perfect complexes on certain global quotient stacks to
twisted equivariant K-theory, generalizing constructions of
Halpern-Leistner-Pomerleano and Moulinos. We prove that this map is an
equivalence if a version of the projective bundle theorem holds for twisted
equivariant K-theory. Along the way, we give a new proof of a theorem of
Moulinos that the comparison map is an equivalence in the non-equivariant case.
