Homogeneity of the Pure State Space of a Separable ${{C}^{*}}$ -Algebra
Homogeneity of the Pure State Space of a Separable ${{C}^{*}}$ -Algebra
复制标题
可分离${{C}^{*}}$-代数的纯状态空间的齐次性
DOI：
10.4153/cmb-2003-038-3
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
S. Sakai
中科院分区：
文献类型：
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作者：
A. Kishimoto;N. Ozawa;S. Sakai
Abstract 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.
