Results 21 to 30 of about 3,060 (235)
RIGIDITY FOR VON NEUMANN ALGEBRAS [PDF]
Proceedings of the International Congress of Mathematicians (ICM 2018), 2019 We survey some of the progress made recently in the classification of von Neumann algebras arising from countable groups and their measure preserving actions on probability spaces. We emphasize results which provide classes of (W$^*$-superrigid) actions that can be completely recovered from their von Neumann algebras and II$_1$ factors that have a ...
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Bundle Convergence in a von Neumann Algebra and in a von Neumann Subalgebra [PDF]
Bulletin of the Polish Academy of Sciences Mathematics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Le Gac, Barthélemy, Móricz, Ferenc
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A characterization of graded von Neumann regular rings with applications to Leavitt path algebras [PDF]
, 2021 We prove a new characterization of graded von Neumann regular rings involving the recently introduced class of nearly epsilon-strongly graded rings. As our main application, we generalize Hazrat's result that Leavitt path algebras over fields are graded ...
Lännström, Daniel +1 more
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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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Contractions in Von Neumann Algebras
Journal of Functional Analysis, 1996 Contractions with spectrum contained in the unit circle \(S^1=\{z:|z|=1\}\) can be very different from unitary operators. However, as the authors prove, in finite von Neumann algebras of Hilbert space operators the only contractions with \(\sigma(T) \subseteq S^1\) are the unitaries.
Cassier, Gilles, Fack, Thierry
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Groupoid normalizers of tensor products [PDF]
, 2010 We consider an inclusion B [subset of or equal to] M of finite von Neumann algebras satisfying B′∩M [subset of or equal to] B. A partial isometry vset membership, variantM is called a groupoid normalizer if vBv*,v*Bv[subset of or equal to] B.
White, S.A. +3 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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Type II1 factors satisfying the spatial isomorphism conjecture [PDF]
, 2012 This paper addresses a conjecture in the work by Kadison and Kastler [Kadison RV, Kastler D (1972) Am J Math 94:38–54] that a von Neumann algebra M on a Hilbert space H should be unitarily equivalent to each sufficiently close von Neumann algebra N, and,
Smith, Roger R. +17 more
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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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