STATES ON THE CUNTZ ALGEBRAS AND p-ADIC RANDOM WALKS

DOI10.1017/S1446788711001212zbMath1250.47039OpenAlexW2143991439MaRDI QIDQ3020575

Palle E. T. Jorgensen, Anna Maria Paolucci

Publication date: 4 August 2011

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788711001212

zbMATH Keywords

waveletsrandom walksCuntz algebras, Cuntz-Krieger algebras

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Signal detection and filtering (aspects of stochastic processes) (60G35) Commutators, derivations, elementary operators, etc. (47B47) Quantum measurement theory, state operations, state preparations (81P15) Noncommutative function spaces (46L52) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50) (p)-adic and power series fields (11D88)

Related Items (9)

On free stochastic processes and their derivatives ⋮ Reproducing kernel Hilbert spaces generated by the binomial coefficients ⋮ Monopoles, dipoles, and harmonic functions on Bratteli diagrams ⋮ 𝑊-Markov measures, transfer operators, wavelets and multiresolutions ⋮ Semicircular-like and semicircular laws on Banach \(*\)-probability spaces induced by dynamical systems of the finite adele ring \(A_{\mathbb{Q}}\) ⋮ Free-homomorphic relations on Banach \(*\)-probability spaces generated by semicircular elements induced by natural numbers ⋮ Semicircular elements induced by p-adic number fields ⋮ Certain \(\ast\)-homomorphisms acting on unital \(C^\ast\)-probability spaces and semicircular elements induced by \(p\)-adic number fields over primes \(p\) ⋮ Monotone convergence of operator semigroups and the dynamics of infinite particle systems

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