Representations of Cuntz algebras associated to quasi-stationary Markov measures

DOI10.1017/etds.2014.37zbMath1352.37027arXiv1401.7582OpenAlexW2963862461MaRDI QIDQ3192317

Dorin Ervin Dutkay, Palle E. T. Jorgensen

Publication date: 12 October 2015

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7582

zbMATH Keywords

Cuntz algebraunitary equivalenceMarkov measures

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (7)

Separable representations, KMS states, and wavelets for higher-rank graphs ⋮ Minimal representations of Cuntz algebras ⋮ Morita isomorphism for Cuntz algebras ⋮ Representation theory and multilevel filters ⋮ Pure states on Cuntz algebras arising from geometric progressions ⋮ Noncommutative Boundaries Arising in Dynamics and Representations of the Cuntz Relations ⋮ Dynamical properties of endomorphisms, multiresolutions, similarity and orthogonality relations

Cites Work

• Unnamed Item
• Orthogonal exponentials, translations, and Bohr completions
• Wavelets on fractals
• Branching laws for polynomial endomorphisms of Cuntz algebras arising from permutations
• Analysis of orthogonality and of orbits in affine iterated function systems
• Continued fraction expansions and permutative representations of the Cuntz algebra \(\mathcal O_\infty\)
• Simple \(C^*\)-algebras generated by isometries
• Slightly larger than a graph \(C^*\)-algebra
• Orthonormal bases generated by Cuntz algebras
• Self-similar groups, operator algebras and Schur complement
• Non-negative matrices and Markov chains.
• Markov measures and extended zeta functions
• On equivalence of infinite product measures
• Spectral measures and Cuntz algebras
• Affine fractals as boundaries and their harmonic analysis
• Besicovitch meets Wiener—Fourier expansions and fractal measures
• Fourier series on fractals: a parallel with wavelet theory
• AN UPPER BOUND OF THE DIRECTIONAL ENTROPY WITH RESPECT TO THE MARKOV MEASURES
• Branching laws for endomorphisms of fermions and the Cuntz algebra O2
• Minimality of the data in wavelet filters (with an appendix by Brian Treadway)

This page was built for publication: Representations of Cuntz algebras associated to quasi-stationary Markov measures