Certain group dynamical systems induced by Hecke algebras

DOI10.7494/OPMATH.2016.36.3.337zbMath1335.05213MaRDI QIDQ2805260

Ilwoo Cho

Publication date: 10 May 2016

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

zbMATH Keywords

operatorsdynamical systemsHilbert spacesrepresentationsfree probabilityHecke algebracrossed product algebrasfree cumulantsfree momentsfree probability spacesnormal Hecke subalgebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Abstract operator algebras on Hilbert spaces (47L30) Other analytic theory (11R47) Representations of (nonselfadjoint) operator algebras (47L55)

Related Items (1)

Free probability on \( C^*\)-algebras induced by Hecke algebras over primes

Cites Work

• Unnamed Item
• Unnamed Item
• Operators induced by prime numbers
• Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs
• Prime number theorems for Rankin-Selberg \(L\)-functions over number fields
• Free probability on Hecke algebras
• Dynamical systems on arithmetic functions determined by primes
• Free probability on Hecke algebras and certain group C^{*}-algebras induced by Hecke algebras
• Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
• p-adic Banach space operators and adelic Banach space operators

This page was built for publication: Certain group dynamical systems induced by Hecke algebras