Non-cocycle-conjugate \(\mathrm{E}_0\)-semigroups on factors

DOI10.4171/PRIMS/53-2-4zbMath1378.46049arXiv1404.5934OpenAlexW2610259481MaRDI QIDQ2360103

Yanyan Li

Publication date: 23 June 2017

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5934

zbMATH Keywords

CAR algebraCCR algebraquasi-free state\(\mathrm{E}_0\)-semigroup\(^\ast\)-endomorphismsuper-product systemtype \(\mathrm{II}_\infty\) factortype \(\mathrm{III}\) factor

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Noncommutative probability and statistics (46L53) Automorphisms of selfadjoint operator algebras (46L40) Classification of factors (46L36)

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On the existence of E0-semigroups — the multiparameter case ⋮ CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond ⋮ A Connes correspondence approach to the dilation theory ⋮ E₀-semigroups of free Araki-Woods factors ⋮ Operator algebras in India in the past decade ⋮ Cohomology for spatial superproduct systems

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