Polynomial endomorphisms of the Cuntz algebras arising from permutations. I: General theory

DOI10.1007/s11005-005-0344-8zbMath1084.47063OpenAlexW1994416201MaRDI QIDQ1777323

Katsunori Kawamura

Publication date: 13 May 2005

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-005-0344-8

zbMATH Keywords

Cuntz algebraspolynomial endomorphismspermutative representations

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Representations of (nonselfadjoint) operator algebras (47L55)

Related Items (19)

Branching laws for polynomial endomorphisms of Cuntz algebras arising from permutations ⋮ 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 ⋮ Graph inverse semigroups: their characterization and completion. ⋮ AUTOMATA COMPUTATION OF BRANCHING LAWS FOR ENDOMORPHISMS OF CUNTZ ALGEBRAS ⋮ Strong representations of the polycyclic inverse monoids: cycles and atoms. ⋮ Visualizing Automorphisms of Graph Algebras ⋮ A tensor product of representations of Cuntz algebras ⋮ Universal fermionization of bosons on permutative representations of the Cuntz algebra O2 ⋮ A NONCOMMUTATIVE GENERALIZATION OF STONE DUALITY ⋮ Endomorphisms of graph algebras ⋮ More localized automorphisms of the Cuntz algebras ⋮ UNIVERSAL ALGEBRA OF SECTORS ⋮ Branching systems and general Cuntz–Krieger uniqueness theorem for ultragraph C^*-algebras ⋮ Labeled trees and localized automorphisms of the Cuntz algebras ⋮ Noncommutative topological entropy of endomorphisms of Cuntz algebras ⋮ Primitive partial permutation representations of the polycyclic monoids and branching function systems. ⋮ Branching laws for endomorphisms of fermions and the Cuntz algebra O2 ⋮ Classification of sub-Cuntz states

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• Recursive fermion system in Cuntz algebra. I
• Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras
• THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGO–REHREN INCLUSIONS II: EXAMPLES

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