Branching laws for endomorphisms of fermions and the Cuntz algebra O2

DOI10.1063/1.2839921zbMath1152.81304OpenAlexW2077811938MaRDI QIDQ5504878

Mitsuo Abe, Katsunori Kawamura

Publication date: 23 January 2009

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

Full work available at URL: https://doi.org/10.1063/1.2839921

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (9)

Representations of Cuntz algebras associated to quasi-stationary Markov measures ⋮ A generalization of de Bruijn graphs and classification of endomorphisms of Cuntz algebras by graph invariants ⋮ Atomic representations of Cuntz algebras ⋮ Universal fermionization of bosons on permutative representations of the Cuntz algebra O2 ⋮ Purely atomic representations of higher-rank graph \(C^*\)-algebras ⋮ DIRICHLET FORMS AND ULTRAMETRIC CANTOR SETS ASSOCIATED TO HIGHER-RANK GRAPHS ⋮ Unitary isomorphism of Fock spaces of bosons and fermions arising from a representation of the Cuntz algebra O2 ⋮ C*-bialgebra Defined as the Direct Sum of UHF Algebras ⋮ Classification of sub-Cuntz states

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