Adelic analysis and functional analysis on the finite Adele ring

DOI10.7494/OPMATH.2018.38.2.139zbMath1409.46038OpenAlexW2779279231MaRDI QIDQ4554809

Ilwoo Cho

Publication date: 9 November 2018

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2018.38.2.139

zbMATH Keywords

representations\(C^\ast\)-algebras\(p\)-adic number fieldsadèle ringfinite adèle ring

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)

Related Items (4)

Asymptotic semicircular law induced by \(p\)-adic number fields \(\mathbb{Q}_p\) over primes ⋮ Semicircular-like and semicircular laws on Banach \(*\)-probability spaces induced by dynamical systems of the finite adele ring \(A_{\mathbb{Q}}\) ⋮ Free-homomorphic relations on Banach \(*\)-probability spaces generated by semicircular elements induced by natural numbers ⋮ Certain \(\ast\)-homomorphisms acting on unital \(C^\ast\)-probability spaces and semicircular elements induced by \(p\)-adic number fields over primes \(p\)

Cites Work

• Unnamed Item
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• 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
• Free Random Variables
• 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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