Free probability on \(W^{*}\)-dynamical systems determined by \(GL_{2}(\mathbb {Q} _{p})\): generalized Hecke algebras

DOI10.1007/S40574-016-0111-ZzbMath1392.46048OpenAlexW2559315830MaRDI QIDQ681833

Ilwoo Cho

Publication date: 13 February 2018

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-016-0111-z

zbMATH Keywords

Hecke algebrassemigroupsrepresentationsfree probabilitysemigroup \( W^{*}\)-dynamical systemsvon-Neumann-algebra-affiliated Hecke algebras

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Adèle rings and groups (11R56) Algebraic number theory: global fields (11R99) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (2)

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
• 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
• 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

This page was built for publication: Free probability on \(W^{*}\)-dynamical systems determined by \(GL_{2}(\mathbb {Q} _{p})\): generalized Hecke algebras