Opuscula Mathematica
Opuscula Math. 35, no. 4 (), 445-484
Opuscula Mathematica

On dynamical systems induced by p-adic number fields

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.
Mathematics Subject Classification: 05E15, 11R47, 46L54, 47L15, 47L55.
Cite this article as:
Ilwoo Cho, On dynamical systems induced by p-adic number fields, Opuscula Math. 35, no. 4 (2015), 445-484, http://dx.doi.org/10.7494/OpMath.2015.35.4.445
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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