Atomic representations of Cuntz algebras
From MaRDI portal
Publication:401349
DOI10.1016/j.jmaa.2014.07.005zbMath1326.46043arXiv1311.5265OpenAlexW2963555967MaRDI QIDQ401349
Dorin Ervin Dutkay, Palle E. T. Jorgensen, John Haussermann
Publication date: 26 August 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.5265
spectral measureswaveletiterated function systemCuntz algebraspermutative representationsWalsh bases
General theory of (C^*)-algebras (46L05) Representations of (nonselfadjoint) operator algebras (47L55)
Related Items (12)
On strong affine representations of the polycyclic monoids ⋮ Separable representations, KMS states, and wavelets for higher-rank graphs ⋮ Noncommutative rational Clark measures ⋮ Monic representations of finite higher-rank graphs ⋮ Minimal representations of Cuntz algebras ⋮ Irreducibility and monicity for representations of \(k\)-graph \(C^*\)-algebras ⋮ Pure states on Cuntz algebras arising from geometric progressions ⋮ Purely atomic representations of higher-rank graph \(C^*\)-algebras ⋮ Monic representations of the Cuntz algebra and Markov measures ⋮ Noncommutative Boundaries Arising in Dynamics and Representations of the Cuntz Relations ⋮ On generalized Walsh bases ⋮ Classification of sub-Cuntz states
Cites Work
- Orthogonal exponentials, translations, and Bohr completions
- Analysis of fractals, image compression, entropy encoding, Karhunen-Loève transforms
- 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 \(\mathcal O_\infty\)
- Finitely correlated states on quantum spin chains
- Simple \(C^*\)-algebras generated by isometries
- \(q\)-canonical commutation relations and stability of the Cuntz algebra
- Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale \(N\)
- Slightly larger than a graph \(C^*\)-algebra
- Mastering the master field
- Compactly supported wavelets and representations of the Cuntz relations
- Orthonormal bases generated by Cuntz algebras
- Self-similar groups, operator algebras and Schur complement
- Spectral measures and Cuntz algebras
- An Operator-Fractal
- Affine fractals as boundaries and their harmonic analysis
- A Note on Normal Operators and Their Adjoints
- Iterated function systems, Ruelle operators, and invariant projective measures
- The measure of a measurement
- Universal fermionization of bosons on permutative representations of the Cuntz algebra O2
- Besicovitch meets Wiener—Fourier expansions and fractal measures
- Iterated function systems and permutation representations of the Cuntz algebra
- Representation theory and numerical AF-invariants. The representations and centralizers of certain states on 𝒪_{𝒹}
- Pure states on O_d
- On the structure of a sofic shift space
- Fourier series on fractals: a parallel with wavelet theory
- Divergence of the mock and scrambled Fourier series on fractal 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)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Atomic representations of Cuntz algebras
