@Article{Cho2015, author = "Cho, Ilwoo", title = "On dynamical systems induced by p-adic number fields", journal = "Opuscula Math.", year = "2015", volume = "35", number = "4", pages = "445--484", doi = "http://dx.doi.org/10.7494/OpMath.2015.35.4.445", url = "http://dx.doi.org/10.7494/OpMath.2015.35.4.445", abstract = "In this paper, we construct dynamical systems induced by \(p\)-adic number fields \(\mathbb{Q}_{p}\). We study the corresponding crossed product operator algebras induced by such dynamical systems. In particular, we are interested in structure theorems, and free distributional data of elements in the operator algebras.", keywords = "prime fields, \(p\)-adic number fields, the Adele ring, \(p\)-adic von Neumann algebras, \(p\)-adic dynamical systems", issn = "1232-9274" }