In this paper, we construct a dynamical system induced by the Adele ring ; based on the dynamical systems induced by -adic number fields; for all primes : We study fundamental operator-theoretic and operator-algebraic properties of the corresponding crossed product operator algebra generated by such a dynamical system, via free probability.

How to Cite
CHO, Ilwoo. On Dynamical Systems Induced by the Adele Ring. Global Journal of Science Frontier Research, [S.l.], june 2015. ISSN 2249-4626. Available at: <https://journalofscience.org/index.php/GJSFR/article/view/1549>. Date accessed: 14 aug. 2022.