Free semicircular families in free product Banach \(\ast\)-algebras induced by \(p\)-adic number fields over primes \(p\)

DOI10.1007/s11785-016-0625-5zbMath1359.05138OpenAlexW2561702535MaRDI QIDQ521941

Ilwoo Cho

Publication date: 12 April 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-016-0625-5

zbMATH Keywords

free probability\(C^{*}\)-algebras\(p\)-adic number fields \(\mathbb {Q}_{p}\)Banach \(*\)-algebrasHilbert-space representationssemicircular elementsweighted-semicircular elements

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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Cites Work

• Unnamed Item
• Representations and corresponding operators induced by Hecke algebras
• Prime number theorems for Rankin-Selberg \(L\)-functions over number fields
• Free probability on Hecke algebras
• Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index
• Dynamical systems on arithmetic functions determined by primes
• Free distributional data of arithmetic functions and corresponding generating functions determined by gaps between primes
• Krein-Space Operators Induced by Dirichlet Characters
• On dynamical systems induced by p-adic number fields
• Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
• Semicircular elements induced by p-adic number fields

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