Free probability on Hecke algebras and certain group C^{*}-algebras induced by Hecke algebras

DOI10.7494/OPMATH.2016.36.2.153zbMath1339.05426MaRDI QIDQ2806525

Ilwoo Cho

Publication date: 18 May 2016

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

zbMATH Keywords

Hecke algebrasgroupsrepresentationsfree probabilityfree cumulantsfree momentsgroup \(C^\ast\)-algebrasnormal Hecke subalgebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Free probability and free operator algebras (46L54) General theory of (C^*)-algebras (46L05) Other analytic theory (11R47) Representations of (nonselfadjoint) operator algebras (47L55) Operator algebras with symbol structure (47L15)

Related Items (5)

Free Products of C*-Probability Spaces from p-Adic Hecke Algebras ⋮ Semicircular-like and semicircular laws on Banach \(*\)-probability spaces induced by dynamical systems of the finite adele ring \(A_{\mathbb{Q}}\) ⋮ Certain group dynamical systems 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 ⋮ Free probability on \( C^*\)-algebras induced by Hecke algebras over primes

Cites Work

• Unnamed Item
• Operators induced by prime numbers
• Krein-space representations of arithmetic functions determined by primes
• Prime number theorems for Rankin-Selberg \(L\)-functions over number fields
• Dynamical systems on arithmetic functions determined by primes
• Free distributional data of arithmetic functions and corresponding generating functions determined by gaps between primes
• Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
• CLASSIFICATION ON ARITHMETIC FUNCTIONS AND CORRESPONDING FREE-MOMENT L-FUNCTIONS
• p-adic Banach space operators and adelic Banach space operators

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