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Asymptotic Semicircular Laws Induced by p-Adic Number Fields p and C*-Algebras over Primes p

Department of Mathematics & Statistics, Saint Ambrose University, 421 Ambrose Hall, 518 W. Locust St., Davenport, IA 52803, USA
Symmetry 2019, 11(6), 819; https://doi.org/10.3390/sym11060819
Received: 11 April 2019 / Revised: 29 May 2019 / Accepted: 4 June 2019 / Published: 20 June 2019
(This article belongs to the Special Issue Number Theory and Symmetry)
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Abstract

In this paper, we study asymptotic semicircular laws induced both by arbitrarily fixed C * -probability spaces, and p-adic number fields { Q p } p P , as p→ ∞ in the set P of all primes. View Full-Text
Keywords: free probability; p-adic number fields ℚp; Banach ∗-probability spaces; C*-algebras; semicircular elements; the semicircular law; asymptotic semicircular laws free probability; p-adic number fields ℚp; Banach ∗-probability spaces; C*-algebras; semicircular elements; the semicircular law; asymptotic semicircular laws
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Cho, I. Asymptotic Semicircular Laws Induced by p-Adic Number Fields p and C*-Algebras over Primes p. Symmetry 2019, 11, 819.

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