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

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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 $\mathrm{III}_1$. 
@article{TMF_2001_126_2_a2,
     author = {F. M. Mukhamedov and U. A. Rozikov},
     title = {Von {Neumann} algebra corresponding to one phase of the inhomogeneous {Potts} model on a {Cayley} tree},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {206--213},
     publisher = {mathdoc},
     volume = {126},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_126_2_a2/}
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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/