Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs

DOI10.1515/SPMA-2015-0012zbMath1319.05150OpenAlexW1262662110MaRDI QIDQ491782

Ilwoo Cho, Palle E. T. Jorgensen

Publication date: 19 August 2015

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2015-0012

zbMATH Keywords

directed graphsgroupoid dynamical systemsgraph groupoids

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Noncommutative probability and statistics (46L53) Complex multiplication and moduli of abelian varieties (11G15) Adèle rings and groups (11R56) Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04) Directed graphs (digraphs), tournaments (05C20) Other analytic theory (11R47) Automorphisms of selfadjoint operator algebras (46L40) Group actions on combinatorial structures (05E18)

Related Items (1)

Certain group dynamical systems induced by Hecke algebras

Cites Work

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• Operators induced by prime numbers
• Actions of arithmetic functions on matrices and corresponding representations
• Krein-space representations of arithmetic functions determined by primes
• An application of free probability to arithmetic functions
• On the Rédei zeta function
• Krein-Space Operators Induced by Dirichlet Characters
• Free Random Variables
• 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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