… OA was also shown to have a unique KMS state, at inverse temperature equal to the … let у
be the corresponding quasi-free dynamics. Then our results say that a ðу, βÞ-KMS state on TH …

… A first level involves the physical motivation behind our result, in particular, the concept of …
By the uniqueness property of the GNS construction we find a unique unitary Ut on Hω for …

… results for the Toeplitz algebra TC*(E). We believe that the results in [11] can be extended to
quasi-free … that this j6c exists and is unique. In Section 5, we give a precise description of the …

… of quasi-free states Sec. III. Although basic structural results characterizing quasi-free thermal
states … Thus from Theorem 2.2, there exists the unique up to the unitary equivalence W* …

… Zacharias [58] also showed that there exists a unique KMS state of OA, but without the use
… of certain periodic quasi-free actions. As a consequence of the results on KMS states, the …

… While at zero temperature the existence and uniqueness of the … Here we call a formal power
series of complex numbers positive if … It is well-known that the quasi-free states ωvac and ωβ …

… the state holds globally and that there are no “zero modes” in the one-particle Hilbert space
belonging to the state, we extend the uniqueness result … restriction to quasi-free states should …

… this result provides an operational justification for identifying equilibrium conditions with KMS
conditions, at least for the class of stationary states … certain types of quasi-free systems with …

… In order to describe our results in more precise terms, it is helpful to recall the abstract
characterisation of KMS states in terms of the systems of inequalities from [3]. We refer to Section 2 …

… global equilibrium state, denoted by ω β , is unique for given β … we conclude that all quasi-free
LTE states necessarily have a … This result shows that even if curved spacetime KMS states …