Crossed Products by Finite Group Actions with the Rokhlin Property
نویسندگان
چکیده
We prove that a number of classes of separable unital C*-algebras are closed under crossed products by finite group actions with the Rokhlin property, including: • AI algebras, AT algebras, and related classes characterized by direct limit decompositions using semiprojective building blocks. • Simple unital AH algebras with slow dimension growth and real rank zero. • C*-algebras with real rank zero or stable rank one. • Simple C*-algebras for which the order on projections is determined by traces. • C*-algebras whose quotients all satisfy the Universal Coefficient Theorem. • C*-algebras with a unique tracial state. Along the way, we give a systematic treatment of the derivation of direct limit decompositions from local approximation conditions by homomorphic images which are not necessarily injective.
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