Semicircular-like, and semicircular laws induced by certain \(C^*\)-probability spaces over the finite adele ring \(A_{\mathbb{Q}}\)

DOI10.1007/978-3-319-68849-7_9zbMath1409.46039OpenAlexW2791997729MaRDI QIDQ1626071

Ilwoo Cho, Palle E. T. Jorgensen

Publication date: 26 November 2018

Full work available at URL: https://doi.org/10.1007/978-3-319-68849-7_9

zbMATH Keywords

representationsfree probabilitysemicircular elementsweighted-semicircular elements\(p\)-adic number fields \(\mathbb{Q}_p\)finite adèle ring \(A_{\mathbb{Q}}\)

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Abstract operator algebras on Hilbert spaces (47L30) Complex multiplication and moduli of abelian varieties (11G15) Adèle rings and groups (11R56) Other analytic theory (11R47) Representations of (nonselfadjoint) operator algebras (47L55)

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Semicircular-like and semicircular laws on Banach \(*\)-probability spaces induced by dynamical systems of the finite adele ring \(A_{\mathbb{Q}}\)

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