AUTOMATA COMPUTATION OF BRANCHING LAWS FOR ENDOMORPHISMS OF CUNTZ ALGEBRAS

DOI10.1142/S0218196707004207zbMath1151.46038arXivmath/0601716MaRDI QIDQ3502833

Katsunori Kawamura

Publication date: 20 May 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601716

zbMATH Keywords

cyclic representationsCuntz algebraendomorphismbranching lawMealy machinegeneralized de Bruijn graph

Mathematics Subject Classification ID

Combinatorics on words (68R15) Algebraic theory of languages and automata (68Q70) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05)

Related Items (5)

Tensor products of type III factor representations of Cuntz-Krieger algebras ⋮ A generalization of de Bruijn graphs and classification of endomorphisms of Cuntz algebras by graph invariants ⋮ Dependence with complete connections and the Gauss-Kuzmin theorem for \(N\)-continued fractions ⋮ UNIVERSAL ALGEBRA OF SECTORS ⋮ Classification of sub-Cuntz states

Cites Work

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• Wavelets through a looking glass. The world of the spectrum
• Branching laws for polynomial endomorphisms of Cuntz algebras arising from permutations
• Simple \(C^*\)-algebras generated by isometries
• The algebraic structure of non-commutative analytic Toeplitz algebras
• Nonlinear transformation group of CAR fermion algebra
• Polynomial endomorphisms of the Cuntz algebras arising from permutations. I: General theory
• Recursive fermion system in Cuntz algebra. I
• Mastering the master field
• Extensions of representations of the CAR algebra to the Cuntz algebra O2—the Fock and the infinite wedge
• The Perron-Frobenius operators, invariant measures and representations of the Cuntz-Krieger algebras
• Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras
• PSEUDO-CUNTZ ALGEBRA AND RECURSIVE FP GHOST SYSTEM IN STRING THEORY

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