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arXiv · 1209.5838

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

Masaki Izumi
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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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Masaki Izumi. 2012-09-26. $E_0$-semigroups: around and beyond Arveson's work. https://arxiv.org/abs/1209.5838

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