On Dynamical Systems Induced by the Adele Ring

Ilwoo Cho

Authors

Ilwoo Cho

prime fields (or, p-adic number fields), the adele ring, p-adicvon neumann algebras, adele-ring von neumann algebras, p-adic dynamical systems, adelic

Abstract

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.

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How to Cite

On Dynamical Systems Induced by the Adele Ring. (2015). Global Journal of Science Frontier Research, 15(F4), 35-67. https://www.journalofscience.org/index.php/GJSFR/article/view/1549

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