Homogeneity of the Pure State Space of a Separable $C^*$-Algebra

Canadian mathematical bulletin

关键词: tangle;    branched cover;    surgery;    Heegaard decomposition;   

DOI  :  10.4153/CMB-2003-038-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We prove that the pure state space is homogeneous under the action ofthe automorphism group (or the subgroup of asymptotically innerautomorphisms) for all the separable simple $C^*$-algebras. Thefirst result of this kind was shown by Powers for the UHF algbrassome 30 years ago.

【 授权许可】

Unknown