Semicircular-like, and semicircular laws induced by certain C∗-probability spaces over the finite Adele ring Aℚ

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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.

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Cho, I., & Jorgensen, P. E. T. (2018). Semicircular-like, and semicircular laws induced by certain C∗-probability spaces over the finite Adele ring Aℚ. In Operator Theory: Advances and Applications (Vol. 263, pp. 237–280). Springer International Publishing. https://doi.org/10.1007/978-3-319-68849-7_9

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