Operators induced by prime numbers

DOI10.4310/MAA.2012.v19.n4.a1zbMath1332.46064MaRDI QIDQ378479

Ilwoo Cho

Publication date: 11 November 2013

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

zbMATH Keywords

von Neumann algebrasfree probabilityfree cumulantsfree momentsAdele ringHibert spacesprime operators

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) Noncommutative probability and statistics (46L53) Adèle rings and groups (11R56) Representations of (nonselfadjoint) operator algebras (47L55) Automorphisms of selfadjoint operator algebras (46L40) Operator algebras with symbol structure (47L15)

Related Items (17)

On dynamical systems induced by p-adic number fields ⋮ Free \(W^*\)-dynamical systems from \(p\)-adic number fields and the Euler totient function ⋮ Matrices induced by arithmetic functions acting on certain Krein spaces ⋮ Krein-space representations of arithmetic functions determined by primes ⋮ Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs ⋮ Free Products of C*-Probability Spaces from p-Adic Hecke Algebras ⋮ Factorization of \(\mathbb C\)-valued functions induced by graphs ⋮ Free probability on \(W^{*}\)-dynamical systems determined by \(GL_{2}(\mathbb {Q} _{p})\): generalized Hecke algebras ⋮ Krein-space operators determined by free product algebras induced by primes and graphs ⋮ Certain group dynamical systems induced by Hecke algebras ⋮ Free probability on Hecke algebras and certain group C^{*}-algebras induced by Hecke algebras ⋮ Analysis of free products of the general linear groups 𝐺𝐿₂(ℚ_{𝕡}) and Hecke algebras ℋ(𝒢ℒ₂(ℚ_{𝕡})) over primes 𝕡 ⋮ An application of free probability to arithmetic functions ⋮ Free probability on Hecke algebras ⋮ Free probability on \( C^*\)-algebras induced by Hecke algebras over primes ⋮ \(\mathbb C\)-valued functions induced by graphs ⋮ Representations and corresponding operators induced by Hecke algebras

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