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Let $sigma$ be a complete simplicial fan in finite dimensional real Euclideanspace $V$, and let $G$ be a cyclic subgroup of $GL(V)$ which acts properly on$\sigma$. We show that the representation of $G$ carried by the cohomology of$X_{sigma}$, the toric variety associated to $sigma$, is a permutationrepresentation.

Representations of cyclic groups acting on complete simplicial fans