Branching laws for polynomial endomorphisms of Cuntz algebras arising from permutations

DOI10.1007/S11005-006-0050-1zbMath1122.46040OpenAlexW2019048430MaRDI QIDQ883177

Katsunori Kawamura

Publication date: 31 May 2007

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

Full work available at URL: https://doi.org/10.1007/s11005-006-0050-1

zbMATH Keywords

polynomial endomorphismspermutative representations

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05) Representations of (nonselfadjoint) operator algebras (47L55)

Related Items (14)

Representations of Cuntz algebras associated to quasi-stationary Markov measures ⋮ 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 ⋮ Atomic representations of Cuntz algebras ⋮ AUTOMATA COMPUTATION OF BRANCHING LAWS FOR ENDOMORPHISMS OF CUNTZ ALGEBRAS ⋮ Strong representations of the polycyclic inverse monoids: cycles and atoms. ⋮ A tensor product of representations of Cuntz algebras ⋮ Purely atomic representations of higher-rank graph \(C^*\)-algebras ⋮ A NONCOMMUTATIVE GENERALIZATION OF STONE DUALITY ⋮ The polynomial endomorphisms of graph algebras ⋮ UNIVERSAL ALGEBRA OF SECTORS ⋮ Labeled trees and localized automorphisms of the Cuntz algebras ⋮ Branching laws for endomorphisms of fermions and the Cuntz algebra O2 ⋮ Classification of sub-Cuntz states

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