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摘要
In this paper, we study an algebra A consisting of all arithmetic functions, and corresponding dynamical systems acting on A determined by a fixed prime p. Starting from free probabilistic models on A determined by p, we construct certain group dynamical systems induced by the additive group R of all real numbers. We investigate the basic properties and free-probabilistic data of such dynamical systems by constructing corresponding crossed product algebras.
- 出版日期2015
