Toeplitz algebras and spectral results for the one-dimensional Heisenberg model

DOI10.1063/1.2222083zbMath1112.82011arXivmath/0511006OpenAlexW2077766716MaRDI QIDQ3441983

Marius Măntoiu, Rafael Tiedra de Aldecoa, Mondher Damak

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math/0511006

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Exactly solvable models; Bethe ansatz (82B23) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (1)

Hyponormality and subnormality of block Toeplitz operators

Cites Work

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• Crossed products of \(C^\ast\)-algebras and spectral analysis of quantum Hamiltonians
• Propagation properties for Schrödinger operators affiliated with certain \(C^*\)-algebras
• Toeplitz operators and algebras
• The Plancherel formula for the infinite XXZ Heisenberg spin chain
• The Slice Map Problem for C*-Algebras
• Toeplitz $C^*$-algebras on ordered groups and their ideals of finite elements

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