This article is cited in 4 papers

Von Neumann algebra corresponding to one phase of the inhomogeneous Potts model on a Cayley tree

F. M. Mukhamedov, U. A. Rozikov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan

Abstract: 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 $\mathrm{III}_1$.

Received: 21.06.2000
Revised: 08.10.2000

DOI: 10.4213/tmf425

 English version: Theoretical and Mathematical Physics, 2001, 126:2, 169–174

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