Homogeneity of the pure state space of a separable C*-algebra

Details Homogeneity of the pure state space of a separable C*-algebra Homogeneity of the pure state space of a separable C*-algebra

2001-10-15

arxiv.org/abs/math/0110152v1

Mathematics

Operator Algebras

This generalizes and replaces the paper(math.OA/0104258) with a similar title by A. Kishimoto and S. Sakai

Scientific paper

We prove that the pure state space is homogeneous under the action of the
automorphism group (or the subgroup of asymptotically inner automorphisms) for
all the separable simple C*-algebras. The first result of this kind was shown
by Powers for the UHF algebras some 30 years ago.

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