Stability under a generalized Boltzmann-Hugenholz evolution is claimed to force KMS thermal equilibrium for interacting lattice systems, but the load-bearing step is asserted, not derived.
Asymptotics for automorphisms of quantum systems on the lattice
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We study the behaviour of continuous automorphism groups of quantum spin systems on the lattice. Whereas the shift is norm asymptotically abelian continuous automorphism groups can lead only to delocalization but not to norm asymptotic abelianess. As a consequence the shift does not allow a continuous extension.
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Global dynamical stability for KMS-states
Stability under a generalized Boltzmann-Hugenholz evolution is claimed to force KMS thermal equilibrium for interacting lattice systems, but the load-bearing step is asserted, not derived.