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$E_0$-semigroups: around and beyond Arveson's work

Published 26 Sep 2012 in math.OA | (1209.5838v1)

Abstract: We give an account of the theory of $E_0$-semigroups. We first focus on Arveson's contributions to the field and related results. Then we present the recent development of type II and type III $E_0$-semigroups. We also include a short note in Appendix, based on Arveson's observation, on noncommutative Poisson boundaries.

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