Results 11 to 20 of about 4,647,140 (179)

Choi-Davis-Jensen Inequalities in Semifinite von Neumann Algebras [PDF]

Journal of Function Spaces, 2015
We prove the Choi-Davis-Jensen type submajorization inequalities on semifinite von Neumann algebras for concave functions and convex functions.
Turdebek N. Bekjan, Kordan N. Ospanov, Asilbek Zulkhazhav   +2 more
doaj   +2 more sources

Causality in Schwinger’s Picture of Quantum Mechanics [PDF]

Entropy, 2022
This paper begins the study of the relation between causality and quantum mechanics, taking advantage of the groupoidal description of quantum mechanical systems inspired by Schwinger’s picture of quantum mechanics. After identifying causal structures on
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort, Giuseppe Marmo, Luca Schiavone, Alessandro Zampini   +5 more
doaj   +2 more sources

Von-Neumann Finiteness and Reversibility in some Classes of Non-Associative Algebras

, 2021
We investigate criteria for von-Neumann finiteness and reversibility in some classes of non-associative algebras. Types of algebras that are studied include alternative, flexible, quadratic and involutive algebras, as well as algebras obtained by the ...
Darpö, Erik,, Nystedt, Patrik,
core   +1 more source

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., Smith, R.R., Sinclair, A.M., Stuart A. White, Jan Cameron, Roger R. Smith, Cameron, J., Sinclair, Allan M., Wiggins, A.D., Allan M. Sinclair, White, Stuart, Wiggins, Alan D., Erik Christensen, White, S.A., Christensen, E., Christensen, Erik, Alan D. Wiggins, Cameron, Jan   +17 more
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Borel reducibility and classification of von Neumann algebras [PDF]

, 2009
We announce some new results regarding the classification problem for separable von Neumann algebras. Our results are obtained by applying the notion of Borel reducibility and Hjorth's theory of turbulence to the isomorphism relation for separable von ...
Tornquist, Asger, Sasyk, R., Törnquist, Asger Dag, Sasyk, Roman   +3 more
core   +1 more source

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., Smith, R., Wiggins, A.D., Fang, J.   +3 more
core   +1 more source

Algebras Generated by Finite Subgroups of Unitary Groups

Journal of Harbin University of Science and Technology, 2021
Group representation theory is one of the most powerful tools to study groups. The unitary group is an important research branch of group theories. We study a class of algebraic structures generated by unitary groups，and we prove that Alg( H) is a von ...
LUO Lai-zhen, LI Xing-hua, TAO Yuan-hong
doaj   +1 more source

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
doaj   +1 more source

Steering projections in von Neumann algebras [PDF]

Opuscula Mathematica, 2015
A steering projection of an arbitrary von Neumann algebra is introduced. It is shown that a steering projection always exists and is unique (up to Murray-von Neumann equivalence).
Adam Wegert
doaj   +1 more source

von Neumann algebras in JT gravity

Journal of High Energy Physics, 2023
We quantize JT gravity with matter on the spatial interval with two asymptotically AdS boundaries. We consider the von Neumann algebra generated by the right Hamiltonian and the gravitationally dressed matter operators on the right boundary.
David K. Kolchmeyer
doaj   +1 more source