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arXiv math/0008179math.OA
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AF流与连续对称

AF flows and continuous symmetries

Ola Bratteli, Akitaka Kishimoto

摘要:

我们考虑AF流,即,研究了单C* 代数的单参数自同构群,它们对有限维 *-子代数的增序列的稠密并保持不变,并得到了它们的两个性质:不存在连续对称破缺和几乎不动点的实秩零性质.

英文摘要:

We consider AF-flows, i.e., one-parameter automorphism groups of a unital simple C*-algebra which leave invariant the dense union of an increasing sequence of finite-dimensional *-subalgebras, and derive two properties for these; an absence of continuous symmetry breaking and a kind of real rank zero property for the almost fixed points.

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