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In this chapter, and the following one, we examine various applications of C*-algebras and their states to statistical mechanics.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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grand canonical equilibrium state, entire analytic elements, asymptotic abelianness, temperature state space, translationally invariant ground states, quantum lattice systems, local thermodynamic stability, invariant equilibrium states, modular automorphism group, translationally invariant states, quantum spin systems, tangent functional, simplex property, modular operator, spin algebra, modular conjugation, conditional energy, wedge theorem, truncated functionals, strong subadditivity, selfadjoint extension, central decomposition, positive selfadjoint operator, ergodic states, reduced density matrices
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