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.
Interacting Fermi systems in the tracial state
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abstract
We argue that for Fermi systems on lattices or the continuum with interaction invariant under a kind of Galilei transformation the time evolution is either weakly asymptotically abelian or at least $\eta$-abelian in the tracial state but not norm asymptotically abelian.
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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.