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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 III1.
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:
    1. Haydarov F. Khakimov R., “An improvement of extremality regions for Gibbs measures of the Potts model on a Cayley tree”, Algebra, Analysis and Quantum Probability, Journal of Physics Conference Series, 697, ed. Ayupov S. Chilin V. Ganikhodjaev N. Mukhamedov F. Rakhimov I., IOP Publishing Ltd, 2016, 012019  crossref  mathscinet  isi  scopus
    2. Fidaleo F., Mukhamedov F., “On factors associated with quantum Markov states corresponding to nearest neighbor models on a Cayley tree”, Quantum Probability and Infinite Dimensional Analysis, Qp-Pq Quantum Probability and White Noise Analysis, 18, 2005, 237–251  crossref  mathscinet  isi  scopus
    3. Mukhamedov F, Rozikov U, “On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras”, Journal of Statistical Physics, 114:3–4 (2004), 825–848  crossref  mathscinet  zmath  adsnasa  isi  scopus
    4. Mukhamedov, F, “On a factor associated with the unordered phase of lambda-model on a Cayley tree”, Reports on Mathematical Physics, 53:1 (2004), 1  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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