Results 1 to 10 of about 4,647,140 (179)

Lattice isomorphisms between projection lattices of von Neumann algebras

Forum of Mathematics, Sigma, 2020
Generalizing von Neumann’s result on type II $_1$ von Neumann algebras, I characterise lattice isomorphisms between projection lattices of arbitrary von Neumann algebras by means of ring isomorphisms between the algebras of locally measurable ...
Michiya Mori
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Paschke Dilations [PDF]

Electronic Proceedings in Theoretical Computer Science, 2017
In 1973 Paschke defined a factorization for completely positive maps between C*-algebras. In this paper we show that for normal maps between von Neumann algebras, this factorization has a universal property, and coincides with Stinespring's dilation for ...
Abraham Westerbaan, Bas Westerbaan
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On the isomorphism class of $q$-Gaussian W$^\ast $-algebras for infinite variables

Comptes Rendus. Mathématique, 2023
Let $M_q(H_{\mathbb{R}})$ be the $q$-Gaussian von Neumann algebra associated with a separable infinite dimensional real Hilbert space $H_{\mathbb{R}}$ where $-1 < q < 1$. We show that $M_q(H_{\mathbb{R}}) \lnot \simeq M_0(H_{\mathbb{R}})$ for $-1 < q \ne
Caspers, Martijn
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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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Acting Semicircular Elements Induced by Orthogonal Projections on Von-Neumann-Algebras

Mathematics, 2017
In this paper, we construct a free semicircular family induced by Z -many mutually-orthogonal projections, and construct Banach ∗-probability spaces ...
Ilwoo Cho
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Derivations with values in noncommutative symmetric spaces

Comptes Rendus. Mathématique, 2023
Let $E=E(0,\infty )$ be a symmetric function space and $E(\mathcal{M},\tau )$ be the noncommutative symmetric space corresponding to $E(0,\infty )$ associated with a von Neumann algebra with a faithful normal semifinite trace.
Huang, Jinghao, Sukochev, Fedor
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Orthogonalization of Positive Operator Valued Measures

Comptes Rendus. Mathématique, 2022
We show that a partition of the unity (or POVM) on a Hilbert space that is almost orthogonal is close to an orthogonal POVM in the same von Neumann algebra. This generalizes to infinite dimension previous results in matrix algebras by Kempe–Vidick and Ji–
de la Salle, Mikael
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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, Alexander A. Katz, Laura Shwartz   +2 more
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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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Classification of Boolean algebras through von Neumann regular $\mathcal{C}^{\infty}-$rings [PDF]

Categories and General Algebraic Structures with Applications
In this paper, we introduce the concept of a ``von Neumann regular $\mathcal{C}^{\infty}$-ring", which is a model for a specific equational theory.
Jean Berni, Hugo Mariano
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