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We show that semigroup C*-algebras attached to ax+b-semigroups over rings ofintegers determine number fields up to arithmetic equivalence, under theassumption that the number fields have the same number of roots of unity. Forfinite Galois extensions, this means that the semigroup C*-algebras areisomorphic if and only if the number fields are isomorphic.

On K-theoretic invariants of semigroup C*-algebras attached to number fields