On the Fock representation of the q-commutation relations
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Publication:4695257
zbMath0767.46038arXivfunct-an/9302006MaRDI QIDQ4695257
Alexandru Nica, Kenneth J. Dykema
Publication date: 17 June 1993
Full work available at URL: https://arxiv.org/abs/funct-an/9302006
\(C^*\)-algebraextended Cuntz algebrarepresentation of the \(q\)-commutation relations on the twisted Fock space
General theory of von Neumann algebras (46L10) Commutation relations and statistics as related to quantum mechanics (general) (81S05)
Related Items (11)
Hypercontractivity in non-commutative holomorphic spaces ⋮ On commutators of Wick products on CCR and CAR algebras ⋮ On q-tensor products of Cuntz algebras ⋮ Coherent states of the \(q\)-canonical commutation relations ⋮ CCR and CAR algebras are connected via a path of Cuntz-Toeplitz algebras ⋮ Fock representations of Q-deformed commutation relations ⋮ Fock representations of multicomponent (particularly non-Abelian anyon) commutation relations ⋮ Exactness of the Fock space representation of the \(q\)-commutation relations ⋮ Deformations of CCR, their \(^\ast\)-representations, and enveloping \(C^\ast\)-algebras ⋮ A free stochastic partial differential equation ⋮ On the stability of deformations of Cuntz-Toeplitz algebras
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