- 96-355 Klimek S., Lesniewski A.
- Quantized Kronecker flows and almost periodic quantum field theory
(61K, plain TeX)
Aug 9, 96
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Abstract. We define and study the properties of the infinite
dimensional quantized Kronecker flow. This $\bC^*$-dynamical system
arises as a quantization of the corresponding flow on an infinite
dimensional torus. We prove an ergodic theorem for a class of quantized
Kronecker flows. We also study the closely related almost periodic
quantum field theory of bosonic, fermionic and supersymmetric particles.
We prove the existence and uniqueness of KMS and super-KMS states for
the $\bC^*$-algebras of observables arising in these theories.