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

Theoretical and Mathematical Physics

Volumn 126, Issue 2, 2001, Pages 169-174

  Mukhamedov, F M ^a   Rozikov, U A ^a  

^a S YU YUNUSOV INSTITUTE OF THE CHEMISTRY OF PLANT SUBSTANCES   (Uzbekistan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035535596     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1005239609639     Document Type: Article

References (15)

1. 1. H. Araki and E. J. Woods, Publ. RIMS Kyoto Univ., No. 3, 51-130 (1968).
2. 2. I. F. Wilde, J. Funct. Anal., 15, 12-21 (1974).
3. 3. R. Powers, Ann. Math., No. 81, 138-171 (1967).
4. 4. F. M. Mukhamedov, Theor. Math. Phys., 123, 489-493 (2000).
5. 5. F. M. Mukhamedov and U. A. Rozikov, Theor. Math. Phys., 124, 1202-1210 (2000).
6. 6. O. Bratteli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics, Vol. 1, C*-and W*-Algebras, Symmetry Groups, Decomposition of States, Springer, New York (1979).
7. 7. A. Connes, Ann. Ec. Norm. Sup., 6, 133-252 (1973).
8. 8. S. Stratila, Modular Theory in Operator Algebras, Abacus Press, Bucuresti (1981).
9. 9. A. G. Shukhov, Funct. Anal. Appl., 14, 163-165 (1980).
10. 10. O. Bratteli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics, Vol. 2, Equilibrium States. Models in Quantum Statistical Mechanics, Springer, New York (1981).
11. 11. N. N. Ganikhodjaev and F. M. Mukhamedov, Meth. Funct. Anal. Topol., 4, No. 3, 33-38 (1998).
12. 12. M. Takesaki, Reg. Conf. Ser. Math., 51, 1-107 (1983).
13. 13. N. N. Ganikhodzhaev, Dokl. Akad. Nauk Uzbekistan, No. 6-7, 4-7 (1992).
14. 14. N. N. Ganikhodzhaev and U. A. Rozikov, Theor. Math. Phys., 111, 480-486 (1997).
15. 15. N. N. Ganikhodzhaev and U. A. Rozikov, Sb. Math., 190, No. 2, 193-203 (1999).