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Skew-product dynamical systems for crossed product C⁎-algebras and their ergodic properties
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2021-05-10 , DOI: 10.1016/j.jmaa.2021.125302 Simone Del Vecchio , Francesco Fidaleo , Stefano Rossi
中文翻译:
交叉积C al-代数的斜积动力学系统及其遍历性质
更新日期:2021-05-14
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2021-05-10 , DOI: 10.1016/j.jmaa.2021.125302 Simone Del Vecchio , Francesco Fidaleo , Stefano Rossi
Starting from a discrete -dynamical system , we define and study most of the main ergodic properties of the crossed product -dynamical system , being the canonical conditional expectation of onto , provided commute with the ⁎-automorphism θ up to a unitary . Here, can be considered as the fully noncommutative generalisation of the celebrated skew-product defined by H. Anzai for the product of two tori in the classical case.
中文翻译:
交叉积C al-代数的斜积动力学系统及其遍历性质
从离散开始 动力系统 ,我们定义并研究了交叉产品的大部分主要遍历特性 动力系统 , 是...的标准有条件期望 到 , 假如 与⁎-自同构θ上下通向a。这里, 可以认为是H. Anzai为经典情况下两个托里的乘积定义的著名斜乘积的完全非交换性泛化。