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Model Theory of General von Neumann Algebras II: Group Actions and Crossed Products [PDF]
22 pages, comments welcome!
Jananan Arulseelan
openaire +3 more sources
Pure Maps between Euclidean Jordan Algebras [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We propose a definition of purity for positive linear maps between Euclidean Jordan Algebras (EJA) that generalizes the notion of purity for quantum systems.
Abraham Westerbaan +2 more
doaj +5 more sources
Information loss, mixing and emergent type III1 factors
Journal of High Energy Physics, 2023 A manifestation of the black hole information loss problem is that the two-point function of probe operators in a large Anti-de Sitter black hole decays in time, whereas, on the boundary CFT, it is expected to be an almost periodic function of time.
Keiichiro Furuya +3 more
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Quantum Probability Theory [PDF]
, 2005 The mathematics of classical probability theory was subsumed into classical measure theory by Kolmogorov in 1933. Quantum theory as nonclassical probability theory was incorporated into the beginnings of noncommutative measure theory by von Neumann in ...
Redei, Miklos, Summers, Stephen J.
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Note on complexity of quantum transmission processes
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 In 1989, Ohya propose a new concept, so-called Information Dynamics (ID), to investigate complex systems according to two kinds of view points. One is the dynamics of state change and another is measure of complexity.
Noboru Watanabe
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Type Decomposition in Posets [PDF]
, 2014 Motivated by the classical type decomposition of von Neumann algebras, and various more recent extensions to other structures, we develop a type decomposition theory for general ...
Bice, Tristan
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On Kirchberg's Embedding Problem [PDF]
, 2015 Kirchberg's Embedding Problem (KEP) asks whether every separable C$^*$ algebra embeds into an ultrapower of the Cuntz algebra $\mathcal{O}_2$. In this paper, we use model theory to show that this conjecture is equivalent to a local approximate nuclearity
Goldbring, Isaac, Sinclair, Thomas
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Acceptable random variables in non-commutative probability spaces
پژوهشهای ریاضی, 2022 Introduction A class of random variables called negatively orthant dependent random variables defined in the classical setting of probability spaces by Lehman in 1966.
Ghadir Sadeghi, Mahin Sadat Divandar
doaj
State convertibility in the von Neumann algebra framework
, 2020 We establish a generalisation of the fundamental state convertibility theorem in quantum information to the context of bipartite quantum systems modelled by commuting semi-finite von Neumann algebras. Namely, we establish a generalisation to this setting
Crann, Jason +3 more
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The split property for locally covariant quantum field theories in curved spacetime [PDF]
, 2015 The split property expresses the way in which local regions of spacetime define subsystems of a quantum field theory. It is known to hold for general theories in Minkowski space under the hypothesis of nuclearity.
A. Strohmaier +34 more
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