TY - JOUR ID - Cho2015 LB - Cho2015 AU - Cho, Ilwoo TI - On dynamical systems induced by p-adic number fields ST - On dynamical systems induced by p-adic number fields JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2015 VL - 35 IS - 4 SP - 445 EP - 484 DO - http://dx.doi.org/10.7494/OpMath.2015.35.4.445 UR - http://dx.doi.org/10.7494/OpMath.2015.35.4.445 AB - 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. KW - prime fields KW - \(p\)-adic number fields KW - the Adele ring KW - \(p\)-adic von Neumann algebras KW - \(p\)-adic dynamical systems SN - 1232-9274 ER -