Results 81 to 90 of about 50,290 (183)
Elementary equivalence and disintegration of tracial von Neumann algebras
Forum of Mathematics, SigmaWe prove an analog of the disintegration theorem for tracial von Neumann algebras in the setting of elementary equivalence rather than isomorphism, showing that elementary equivalence of two direct integrals of tracial factors implies fiberwise ...
David Gao, David Jekel
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Jordan (α,β)-Derivations on Operator Algebras
Journal of Function Spaces, 2017 Let A be a CSL subalgebra of a von Neumann algebra acting on a Hilbert space H. It is shown that any Jordan (α,β)-derivation on A is an (α,β)-derivation, where α,β are any automorphisms on A. Moreover, the nth power (α,β)-maps on A are investigated.
Quanyuan Chen +2 more
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Free analysis and planar algebras
, 2014 We study 2-cabled analogs of Voiculescu's trace and free Gibbs states on Jones planar algebras. These states are traces on a tower of graded algebras associated to a Jones planar algebra.
Curran, S. +2 more
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International Journal of Mathematics and Mathematical Sciences, 2002 We prove, for two free semicircularly distributed selfadjoint elements a and b in a type II1 von Neumann algebra with faithful trace τ, that the function t∈ℝ↦τ(exp(a+itb)) is positive definite.
Mark Fannes, Dénes Petz
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On outer elements of the noncommutative Hp spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2015 In the article let M be a von Neumann algebra equipped with a faithful normal normalized tracial state t, A be subdiagonal subalgebra of M. We transfer the results of [4] to the case p < 1.
A.T. Yerkex, T.N. Bekzhan
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The Jordan lattice completion and a note on injective envelopes and von Neumann algebras
, 2018 The article associates two fundamental lattice constructions with each regular unital real ordered Banach space (function system). These are used to establish certain results in the theory of operator algebras, specifically relating the injective ...
Haag, Ulrich
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NONCOMMUTATIVE DE LEEUW THEOREMS
Forum of Mathematics, Sigma, 2015 Let $\text{H}$ be a subgroup of some locally compact group $\text{G}$. Assume that $\text{H}$ is approximable by discrete subgroups and that $\text{G}$ admits neighborhood bases which are almost invariant under conjugation by finite subsets of $\text{H}$.
MARTIJN CASPERS +3 more
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Lifting Invertibles in von Neumann Algebras [PDF]
Proceedings of the American Mathematical Society, 1991 Given B ( H ) \mathcal {B}(\mathcal {H}) , the algebra of bounded operators on a separable Hilbert space H \mathcal {H} , and K \mathcal {K} , the ideal of compact operators, it is a well-known fact that T
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Factorization of operators on $C^*$-algebras
, 1997 Let $A$ be a $C^*$-algebra. It is shown that every absolutely summing operator from $A$ into $\ell_2$ factors through a Hilbert space operator that belongs to the 4-Schatten- von Neumann class.
Randrianantoanina, Narcisse
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On a Heisenberg-Type Uncertainty Principle in von Neumann Algebras
MathematicsA refinement of the Heisenberg uncertainty principle has been proved by Luo using Wigner–Yanase information. Generalizations of this result have been proved by Yanagi and by other scholars for regular Quantum Fisher Information in the matrix case.
Paolo Gibilisco, Tommaso Isola
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