Geodesic
Homogeneity of the Pure State Space of a Separable ${{C}^{*}}$ -Algebra
Canadian mathematical bulletin, Tome 46 (2003) no. 3, pp. 365-372

Voir la notice de l'article provenant de la source Cambridge University Press

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 $\text{UHF}$ algbras some 30 years ago.
DOI : 10.4153/CMB-2003-038-3
Mots-clés : 46L40, 46L30 
Kishimoto, Akitaka; Ozawa, Narutaka; Sakai, Shôichirô. Homogeneity of the Pure State Space of a Separable ${{C}^{*}}$ -Algebra. Canadian mathematical bulletin, Tome 46 (2003) no. 3, pp. 365-372. doi: 10.4153/CMB-2003-038-3
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