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

F. M. Mukhamedov; U. A. Rozikov

doi:10.1023/A:1005239609639

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

F. M. Mukhamedov
, U. A. Rozikov

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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 III₁.

Original language	English
Pages (from-to)	169-174
Number of pages	6
Journal	Theoretical and Mathematical Physics
Volume	126
Issue number	2
DOIs	https://doi.org/10.1023/A:1005239609639
Publication status	Published - Feb 2001
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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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 III1.",

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JO - Theoretical and Mathematical Physics

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

Abstract

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