KMS condition in a Schrödinger picture of the dynamics
Given the C∗-algebra A of observables, the KMS condition is formulated in terms of the time evolution α∗t of a set S0 ⊂ S(A) of “physical” states subject to certain natural conditions. α∗t need not be defined by an automorphism group of A. It is shown that, for a KMS state ω, α∗t induces a ∗-automorphism αωt of the von Neumann algebra πω(A)″ generated by the representation πω belonging to ω.