On Dynamical Systems Induced by the Adele Ring

Ilwoo Cho

On Dynamical Systems Induced by the Adele Ring

Ilwoo Cho *

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Abstract

In this paper, we construct a dynamical system induced by the Adele ring AQ ; based on the dynamical systems induced by -adic number fields p Qp ; for all primes : We study fundamental operator-theoretic and operator- p algebraic properties of the corresponding crossed product operator algebra generated by such a dynamical system, via free probability.

References

18 Cites in Article

Reference Format

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Ilwoo Cho. 2015. "On Dynamical Systems Induced by the Adele Ring". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue 18 (F4)).

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GJSFR Volume 15 Issue 18 (F4)

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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

Classification

GJSFR-F Classification MSC 2010: 05E15

11G15

11R04

11R09

11R47

11R56

46L10

46L40

46L53

Submission ReceivedMarch 20, 2015
Peer Review Double Blind
Handling Editor
Accepted April 13, 2015
Published May 8, 2015

Version of record

v1.2

Issue date

May 8, 2015

Language

English

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Article Matrices

Total Score: 131

Country: Canada

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Ilwoo Cho (PhD/Dr. count: 0)

View Count (all-time): 377

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Publish Date: 2015 05, Fri

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Total Views: 1.3K

Total Downloads: 76

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