In this paper, we build on the work from [10] to show that periodic rational G-equivariant topological K-theory has a unique genuine-commutative ring structure for G a finite abelian group. This means that every genuine-commutative ring spectrum whose homotopy groups are those of KU Q,G is weakly equivalent, as a genuine-commutative ring spectrum, to KU Q,G . In contrast, the connective rational equivariant K-theory spectrum does not have this type of uniqueness of genuine-commutative ring structure.
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