Equilibrium states and their entropy densities in gauge-invariant C*-systems

Details Equilibrium states and their entropy densities in gauge-invariant C*-systems Equilibrium states and their entropy densities in gauge-invariant C*-systems

2004-09-30

arxiv.org/abs/math/0409601v2

Mathematics

Operator Algebras

20 pages, revised in March 2005

Scientific paper

10.1142/S0129055X05002352

A gauge-invariant C*-system is obtained as the fixed point subalgebra of the infinite tensor product of full matrix algebras under the tensor product unitary action of a compact group. In the paper, thermodynamics is studied on such systems and the chemical potential theory developed by Araki, Haag, Kastler and Takesaki is used. As a generalization of quantum spin system, the equivalence of the KMS condition, the Gibbs condition and the variational principle is shown for translation-invariant states. The entropy density of extremal equilibrium states is also investigated in relation to macroscopic uniformity.

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