Semicircular elements induced by p-adic number fields

• Autorzy: Cho I. , Jorgensen P. E. T.

Identyfikatory

DOI

10.7494/OpMath.2017.37.5.665

• Języki publikacji: EN

Abstrakty

EN

In this paper, we study semicircular-like elements, and semicircular elements induced by p-adic analysis, for each prime p. Starting from a p-adic number field Qp, we construct a Banach *-algebra [formula], for a fixed prime p, and show the generating elements Qpj of [formula] form weighted-semicircular elements, and the corresponding scalar-multiples Θpj of Qpj become semicircular elements, for all j ∈ Z. The main result of this paper is the very construction of suitable linear functionals [formula] on [formula], making Qpj be weighted-semicircular, for all j ∈ Z.

Słowa kluczowe

EN

free probability; primes; p-adic number fields Qp; Hilbert-space representations; C*-algebras; wighted-semicircular elements; semicircular elements

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2017
• Tom: Vol. 37, no. 5
• Strony: 665--703
• Opis fizyczny: Bibliogr. 34 poz.

Twórcy

autor

Cho I.

• St. Ambrose University Department of Mathematics and Statistics 421 Ambrose Hall, 518 W. Locust St. Davenport, Iowa, 52803, USA

autor

Jorgensen P. E. T.

• The University of Iowa Department of Mathematics 14 MacLean Hall Iowa City, IA 52242-1419, USA

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).