On Dynamical Systems Induced by the Adele Ring

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YS4GP

On Dynamical Systems Induced by the Adele Ring

Ilwoo Cho
Ilwoo Cho
DOI

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.

On Dynamical Systems Induced by the Adele Ring

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.

Ilwoo Cho
Ilwoo Cho

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Ilwoo Cho. 2015. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F4): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Issue Cover
GJSFR Volume 15 Issue F4
Pg. 35- 67
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GJSFR-F Classification: MSC 2010: 05E15, 11G15, 11R04, 11R09, 11R47, 11R56, 46L10, 46L40, 46L53, 46
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On Dynamical Systems Induced by the Adele Ring

Ilwoo Cho
Ilwoo Cho

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