Noncommutative Dynamics and E-Semigroups

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Focusing on the dynamical evolution of quantum systems, the book explores Noncommutative Dynamics through rigorous mathematical structures involving infinite degrees of freedom. It emphasizes the representation of dynamics via automorphisms of a noncommutative algebra of observables, particularly bounded operators on Hilbert spaces. The introduction of a causal structure leads to the emergence of Eo-semigroups, which represent past and future dynamics. The text discusses significant advancements and ongoing mysteries in the understanding of Eo-semigroups, categorizing them into three distinct types.