Geodesic
Von Neumann algebra corresponding to one phase of the inhomogeneous Potts model on a Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 2, pp. 206-213 
F. M. Mukhamedov; U. A. Rozikov. Von Neumann algebra corresponding to one phase of the inhomogeneous Potts model on a Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 2, pp. 206-213. http://geodesic.mathdoc.fr/item/TMF_2001_126_2_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We prove that the von Neumann algebra generated by the GNS construction associated with the extremal disordered phase of a class of inhomogeneous Potts models on a Cayley tree is a factor of type $\mathrm{III}_1$.

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