Results 21 to 30 of about 50,290 (183)
Derivations of Murray–von Neumann algebras [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2019 AbstractIn this paper, we answer in the affirmative the long-standing conjecture that the first cohomology group of the Murray–von Neumann algebraS(ℳ){S(\mathcal{M})}of all operators affiliated with a typeII1{\mathrm{II}_{1}}von Neumann algebraℳ{\mathcal{M}}is 0. That is, we show that all derivations ofS(ℳ){S(\mathcal{M})}are inner.
Aleksey Ber +2 more
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Algebra of operators in an AdS-Rindler wedge
Journal of High Energy Physics, 2023 We discuss the algebra of operators in AdS-Rindler wedge, particularly in AdS5/CFT4. We explicitly construct the algebra at N = ∞ limit and discuss its Type III1 nature.
Eyoab Bahiru
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Arens Algebras and Matricial Spaces
Вестник КазНУ. Серия математика, механика, информатика, 2019 Let M be a finite von Neumann algebra equipped with a finite faithful normal trace and let Lp(M; ) be the corresponding noncommutative Lp space of -measurable operators associated with the couple (M; ), 1 ≤ p < ∞. Let MN be the algebra of all complex N
Denis Potapov, Fedor Sukochev
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The Study of Maps Completely Preserving *-Jordan Zero Products on Factor von Neumann Algebras
Journal of Harbin University of Science and Technology, 2018 In order to characterize the maps completely preserving *Jordan zeroproducts on factor von Neumann algebras, according to the definition of bilateral complete preserving *Jordan zeroproducts and bilateral 2preserving *Jordan zeroproducts, taking a ...
LIU Hong-yu, HUO Dong-hua
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von Neumann algebras in JT gravity
Journal of High Energy Physics, 2023 We quantize JT gravity with matter on the spatial interval with two asymptotically AdS boundaries. We consider the von Neumann algebra generated by the right Hamiltonian and the gravitationally dressed matter operators on the right boundary.
David K. Kolchmeyer
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Exponential arcs in manifolds of quantum states
Frontiers in Physics, 2023 The manifold under consideration consists of the faithful normal states on a sigma-finite von Neumann algebra in standard form. Tangent planes and approximate tangent planes are discussed. A relative entropy/divergence function is assumed to be given. It
Jan Naudts
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On weak convergence of iterates in quantum Lp-spaces (p≥1)
International Journal of Mathematics and Mathematical Sciences, 2005 Equivalent conditions are obtained for weak convergence of iterates of positive contractions in the L1-spaces for general von Neumann algebra and general JBW algebras, as well as for Segal-Dixmier Lp-spaces (1 ...
Genady Ya. Grabarnik +2 more
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Large N algebras and generalized entropy
Journal of High Energy Physics, 2023 We construct a Type II ∞ von Neumann algebra that describes the large N physics of single-trace operators in AdS/CFT in the microcanonical ensemble, where there is no need to include perturbative 1/N corrections. Using only the extrapolate dictionary, we
Venkatesa Chandrasekaran +2 more
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The Haagerup property for arbitrary von Neumann algebras
, 2014 We introduce a natural generalization of the Haagerup property of a finite von Neumann algebra to an arbitrary von Neumann algebra (with a separable predual) equipped with a normal, semi-finite, faithful weight and prove that this property does not ...
Caspers, Martijn, Skalski, Adam
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