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Theory of Operator Algebras II

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The article was published on 1979-01-01 and is currently open access. It has received 3776 citations till now. The article focuses on the topics: Nest algebra & Ladder operator.

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Categorical Quantum Models and Logics

Chris Heunen
TL;DR: The authors bestudeert de logica achter kwantumfysica door gebruik te maken van 'category theory' als belangrijkste gereedschap en gids.
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De Finetti Theorem on the CAR Algebra

TL;DR: In this article, the authors extend the De Finetti Theorem to the case of CAR algebra, and prove that the compact convex set of such states is a Choquet simplex, whose extremal (i.e. ergodic w.r.t.
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Projective Limits of State Spaces II. Quantum Formalism

TL;DR: Lanery et al. as discussed by the authors investigated the projective framework initiated by Kijowski (1977) and Okolow (2009, 2014, 2013), which describes the states of a quantum theory as projective families of density matrices.
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Combinatorial independence in measurable dynamics

TL;DR: In this article, a fine-scale analysis of measure entropy and measure sequence entropy based on combinatorial independence is presented, where the concepts of measure IE-tuples and measure IN-tuple are introduced and studied in analogy with their counterparts in topological dynamics.