The main purpose of this thesis is to discuss quantum decoherence in the frame- work of operator algebras. We will define several types of decoherence of quantum Markov systems based on the original notion introduced by Ph. Blanchard and R. Olkiewicz; then we will give a number of suffiecient conditions for a quantum Markov system to display decoherence, and explain the relation between them.
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Faculty of Graduate Studies and Research, University of Regina