E₀-semigroups: around and beyond Arveson's work
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🧮 math.OA
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arvesonsemigroupstypeaccountappendixaroundbeyondboundaries
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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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