Unitary isomorphism of Fock spaces of bosons and fermions arising from a representation of the Cuntz algebra O2

DOI10.1063/1.2988719zbMath1152.81505arXiv0807.2702OpenAlexW2029001133MaRDI QIDQ5505079

Katsunori Kawamura

Publication date: 23 January 2009

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

Full work available at URL: https://arxiv.org/abs/0807.2702

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)

Related Items (4)

Morita isomorphism for Cuntz algebras ⋮ Pure states on Cuntz algebras arising from geometric progressions ⋮ Universal fermionization of bosons on permutative representations of the Cuntz algebra O2 ⋮ Jump transformations and an embedding of O∞ into O2

Cites Work

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• Recursive boson system in the Cuntz algebra O∞
• Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras
• PSEUDO-CUNTZ ALGEBRA AND RECURSIVE FP GHOST SYSTEM IN STRING THEORY
• Branching laws for endomorphisms of fermions and the Cuntz algebra O2
• Anyons and the Bose-Fermi duality in the finite-temperature Thirring model
• Fermionization of the spin-\(S\) Uimin-Lai-Sutherland model: generalisation of the supersymmetric \(t\)-\(J\) model to spin-\(S\)
• Infinite wedge and random partitions

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