Results 11 to 20 of about 50,290 (183)
Injective von Neumann algebras [PDF]
Proceedings of the American Mathematical Society, 1974 Injective von Neumann algebras are defined, and a characterization of them as complemented subspaces of L ( H ) \mathcal {L}(H) is given. Several examples and applications are discussed.
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Maximum Entropy Models for Quantum Systems
Entropy, 2016 We show that for a finite von Neumann algebra, the states that maximise Segal’s entropy with a given energy level are Gibbs states. This is a counterpart of the classical result for the algebra of all bounded linear operators on a Hilbert space and von ...
Andrzej Łuczak +2 more
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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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A Remark on the structure of symmetric quantum dynamical semigroups on von Neumann algebras [PDF]
, 2002 We study the structure of the generator of a symmetric, conservative quantum dynamical semigroup with norm-bounded generator on a von Neumann algebra equipped with a faithful semifinite trace. For von Neumann algebras with abelian commutant (i.e.
Albeverio, Sergio, Goswami, Debashish
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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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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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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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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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Lifting endomorphisms to automorphisms [PDF]
, 2007 Normal endomorphisms of von Neumann algebras need not be extendable to automorphisms of a larger von Neumann algebra, but they always have asymptotic lifts.
Arveson, William, Courtney, Dennis
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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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