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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 126, Number 2, Pages 206–213
DOI: https://doi.org/10.4213/tmf425 (Mi tmf425) 		 
This article is cited in 4 scientific papers (total 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
Full-text PDF (228 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf425
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
English version:
Theoretical and Mathematical Physics, 2001, Volume 126, Issue 2, Pages 169–174
DOI: https://doi.org/10.1023/A:1005239609639
Bibliographic databases:
Language: Russian
Citation: F. M. Mukhamedov, U. A. Rozikov, “Von Neumann algebra corresponding to one phase of the inhomogeneous Potts model on a Cayley tree”, TMF, 126:2 (2001), 206–213; Theoret. and Math. Phys., 126:2 (2001), 169–174
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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