?Almost? mean-field ising model: An algebraic approach

Abstract

We study the thermodynamic limit of the algebraic dynamics for an “almost” mean-field Ising model, which is a slight generalization of the Ising model in the mean-field approximation. We prove that there exists a family of „relevant” states on which the algebraic dynamicsαt can be defined. Thisαt defines a group of automorphisms of the algebra obtained by completing the standard spin algebra with respect to the quasiuniform topology defined by our states.