On Dynamical Systems Induced by the Adele Ring

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 ; 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.

References

18 Cites in Article

Reference Format

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Ilwoo Cho (2011). Histories Distorted by Partial Isometries.
I Cho (2010). Frames, Fractals and Radial Operators in Hilbert Space.
Ilwoo Cho (2015). On dynamical systems induced by p-adic number fields.
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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. \u201cOn Dynamical Systems Induced by the Adele Ring\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F4): .

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GJSFR Volume 15 Issue F4
Pg. 35- 67

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification: MSC 2010: 05E15, 11G15, 11R04, 11R09, 11R47, 11R56, 46L10, 46L40, 46L53, 46

Submission ReceivedMarch 20, 2015
Peer Review Double Blind
Handling Editor
Accepted April 13, 2015
Published April 26, 2015

Version of record

v1.2

Issue date

June 4, 2015

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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): 179

Total Views (Real + Logic): 4213

Total Downloads (simulated): 2184

Publish Date: 2015 06, Thu

Monthly Totals (Real + Logic):

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Total Views: 4213

Total Downloads: 2184

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