QUANTIZED KRONECKER FLOWS AND ALMOST-PERIODIC QUANTUM-FIELD THEORY

We define and study the properties of the infinite-dimensional quantiz ed Kronecker flow. This C-dynamical system arises as a quantization o f the corresponding flow on an infinite-dimensional torus. We prove an ergodic theorem for a class of quantized Kronecker flows. We also stu dy the closely related, almost periodic quantum field theory of bosoni c, fermionic, and supersymmetric particles. We prove the existence and uniqueness of KMS and super-KMS states for the C-algebras of observa bles arising in these theories. (C) 1997 American Institute of Physics .