UNIVERSAL ALGEBRA OF SECTORS

DOI10.1142/S0218196709005172zbMath1179.46047MaRDI QIDQ3636197

Katsunori Kawamura

Publication date: 30 June 2009

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

zbMATH Keywords

Cuntz algebrauniversal algebrafusion rulesectorbranching law

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05)

Related Items (5)

A generalization of de Bruijn graphs and classification of endomorphisms of Cuntz algebras by graph invariants ⋮ Morita isomorphism for Cuntz algebras ⋮ Pure states on Cuntz algebras arising from geometric progressions ⋮ Representations of Higman-Thompson groups from Cuntz algebras ⋮ Branching laws for endomorphisms of fermions and the Cuntz algebra O2

Cites Work

• 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
• The structure of sectors associated with Longo-Rehren inclusions. I: General theory
• Polynomial endomorphisms of the Cuntz algebras arising from permutations. I: General theory
• Recursive fermion system in Cuntz algebra. I
• Fields, observables and gauge transformations. I
• Orthogonal Completions of the Polycyclic Monoids
• AUTOMATA COMPUTATION OF BRANCHING LAWS FOR ENDOMORPHISMS OF CUNTZ ALGEBRAS
• Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras
• THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGO–REHREN INCLUSIONS II: EXAMPLES
• A Unified Scheme for Generalized Sectors Based on Selection Criteria: Order Parameters of Symmetries and of Thermality and Physical Meanings of Adjunctions
• NETS OF SUBFACTORS

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