论文标题

混乱的曲折动力学

Chaotic tracial dynamics

论文作者

Jacelon, Bhishan

论文摘要

合适的有限分类C*-代数的通用自动形态引起的痕量空间的作用被证明是混乱的,弱混合。构建了C* - 代数模型,以观察中心极限定理和强烈混乱的曲折作用的其他统计特征。有限rokhlin维度的通用性用于描述可合同的稳定稳定的C* - 代数为交叉产品。

The action on the trace space induced by a generic automorphism of a suitable finite classifiable C*-algebra is shown to be chaotic and weakly mixing. Model C*-algebras are constructed to observe the central limit theorem and other statistical features of strongly chaotic tracial actions. Genericity of finite Rokhlin dimension is used to describe KK-contractible stably projectionless C*-algebras as crossed products.

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