Homogeneity of the pure state space for the separable nuclear C*-algebras

Details Homogeneity of the pure state space for the separable nuclear C*-algebras Homogeneity of the pure state space for the separable nuclear C*-algebras

2001-04-27

arxiv.org/abs/math/0104258v1

Mathematics

Operator Algebras

16 pages

Scientific paper

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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