Irreducible representations of the Cuntz algebra $\mathcal {O}_N$

DOI10.1090/S0002-9939-99-05018-2zbMath0968.46039MaRDI QIDQ4268915

Eui-Chai Jeong

Publication date: 28 October 1999

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

zbMATH Keywords

irreducible representation\(C^*\)-algebrawaveletsubrepresentationsfilter-banks

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Noncommutative dynamical systems (46L55) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Abstract operator algebras on Hilbert spaces (47L30) General theory of (C^*)-algebras (46L05) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Dilations, extensions, compressions of linear operators (47A20) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Representation theory of linear operators (47A67)

Related Items (4)

On strong affine representations of the polycyclic monoids ⋮ Minimal representations of Cuntz algebras ⋮ Pure states on Cuntz algebras arising from geometric progressions ⋮ Classification of sub-Cuntz states

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