## The automorphism group of the irratinal rotation C ∗ - algebra

- N. Kataoka Futamura, A. Kishimoto
- Commun . Math . Phys .
- 1993

We prove that the pure state space is homogeneous under the action of the group of asymptotically inner automorphisms for all the separable simple nuclear C *-algebras. If simplicity is not assumed for the C *-algebras, the set of pure states whose GNS representations are faithful is homogeneous for the above action.

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