Results 11 to 20 of about 841 (144)
On the range of completely bounded maps
International Journal of Mathematics and Mathematical Sciences, 1978 It is shown that if every bounded linear map from a C*-algebra α to a von Neumann algebra β is completely bounded, then either α is finite-dimensional or β⫅𝒞⊗Mn, where 𝒞 is a commutative von Neumann algebra and Mn is the algebra of n×n complex matrices.
Richard I. Loebl
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On the Relationship between Jordan Algebras and Their Universal Enveloping Algebras
International Journal of Mathematics and Mathematical Sciences, 2020 The relationship between JW-algebras (resp. JC-algebras) and their universal enveloping von Neumann algebras (resp. C∗-algebras) can be described as significant and influential. Examples of numerous relationships have been established.
F. B. H. Jamjoom, A. H. Al Otaibi
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On the Tensor Products of Maximal Abelian JW-Algebras
International Journal of Mathematics and Mathematical Sciences, 2009 It is well known in the work of Kadison and Ringrose (1983)that if 𝐴 and 𝐵 are maximal abelian von Neumann subalgebras of von Neumann algebras 𝑀 and 𝑁, respectively, then 𝐴⊗𝐵 is a maximal abelian von Neumann subalgebra of 𝑀⊗𝑁.
F. B. H. Jamjoom
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Von Neumann algebra description of inflationary cosmology
European Physical Journal C: Particles and Fields, 2023 We study the von Neumann algebra description of the inflationary quasi-de Sitter (dS) space. Unlike perfect dS space, quasi-dS space allows the nonzero energy flux across the horizon, which can be identified with the expectation value of the static time ...
Min-Seok Seo
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Unordered Tuples in Quantum Computation [PDF]
Electronic Proceedings in Theoretical Computer Science, 2015 It is well known that the C*-algebra of an ordered pair of qubits is M_2 (x) M_2. What about unordered pairs? We show in detail that M_3 (+) C is the C*-algebra of an unordered pair of qubits. Then we use Schur-Weyl duality to characterize the C*-algebra
Robert Furber, Bas Westerbaan
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Geometric phases characterise operator algebras and missing information
Journal of High Energy Physics, 2023 We show how geometric phases may be used to fully describe quantum systems, with or without gravity, by providing knowledge about the geometry and topology of its Hilbert space. We find a direct relation between geometric phases and von Neumann algebras.
Souvik Banerjee +3 more
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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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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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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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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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