On a factor associated with the unordered phase of λ-model on a cayley tree |
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Authors: | Farruh Mukhamedov |
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Institution: | Department of Mechanics and Mathematics, National University of Uzbekistan Vuzgorodok, 700095 Tashkent, Uzbekistan |
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Abstract: | In this paper we consider nearest-neighbours models, where the spin takes values in the set Φ = {η1, η1, …, ηq} and is assigned to the vertices of the Cayley tree Γk. The Hamiltonian is defined by some given λ-function. We find a condition for the function λ to determine a type of von Neumann algebra generated by the GNS construction associated with the unordered phase of the λ-model. We give also some physical applications of the obtained result. |
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Keywords: | 47A67 47L90 47N55 82B20 |
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