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Von Neumann algebras generated by translation-invariant Gibbs states of the Ising model on a Bethe lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 1, pp. 88-93 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Ising model on a Bethe lattice of order $k\geq2$ is considered. For maximum or minimum translation-invariant Gibbs states of this model, the relations between the von Neumann algebras generated by these states for the Gelfand–Neimark–Segal representation are found. These algebras can be of types $\mathrm{III}_\lambda$, $\lambda\in(0,1)$, and $\mathrm{III}_1$. 
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F. M. Mukhamedov. Von Neumann algebras generated by translation-invariant Gibbs states of the Ising model on a Bethe lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 1, pp. 88-93. http://geodesic.mathdoc.fr/item/TMF_2000_123_1_a7/

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