Four Lectures on Noncommutative Dynamics

Details Four Lectures on Noncommutative Dynamics Four Lectures on Noncommutative Dynamics

2002-07-29

arxiv.org/abs/math/0207278v1

Mathematics

Operator Algebras

55 pages

Scientific paper

These lectures concern basic aspects of the theory of semigroups of endomorphisms of type $I$ factors that relate to causal dynamics, dilation theory, and the problem of classifying $E_0$-semigroups up to cocycle conjugacy. We give only a few proofs here; full details can be found in the author's upcoming monograph {\em Noncommutative Dynamics and $E$-semigroups}, to be published in the Springer series Monographs in Mathematics.

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