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Semicircular-like, and Semicircular Laws Induced by Certain C∗-probability Spaces over the Finite Adele Ring Aℚ
Book chapter

Semicircular-like, and Semicircular Laws Induced by Certain C∗-probability Spaces over the Finite Adele Ring Aℚ

Ilwoo Cho and Palle E. T Jorgensen
Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations, pp.237-280
Operator Theory: Advances and Applications, Springer International Publishing
01/31/2018
DOI: 10.1007/978-3-319-68849-7_9

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Abstract

Starting from the finite Adele ring Aℚ, we construct certain C∗-probability spaces under tensor product. From such C∗-probability spaces, we establish-and-study Banach ∗-probability spaces, and consider weightedsemicircular elements, and semicircular elements there.
05E15 11G15 11R47 11R56 46L10 46L54 47L30 47L55 adic number fields ℚ Free probability representations semicircular elements the finite Adele ring weighted-semicircular elements

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