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Under the assumption that the time evolution of an infinite system in thermodynamical equilibrium commutes with a closed, connected proper subgroup of the full gauge group (reflecting the particle structure of the system), it is shown that the chemical potentials satisfy conditions of reactive equilibrium. In addition, it arises as a direct consequence of the compactness of the gauge group that the stoichiometric coefficients are integers. [ABSTRACT FROM AUTHOR]

The disjointness of β-KMS states with different chemical potential is proved. Accordingly, states with different chemical potential are in different superselection sectors so that the chemical potential is a classical observable. [ABSTRACT FROM AUTHOR]