Results 91 to 100 of about 4,647,140 (179)

BEURLING THEOREMS AND APPROXIMATE EQUIVALENCE IN VON NEUMANN ALGEBRAS [PDF]

, 2019
The main part of the thesis relates to generalized Beurling-Helson-Lowdenslager theorems on the unit disk, in multiply connected domains, and in finite von Neumann algebras.
Liu, Wenjing
core   +1 more source

Elementary equivalence and disintegration of tracial von Neumann algebras

Forum of Mathematics, Sigma
We 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
doaj   +1 more source

on factor von Neumann algebras

, 2009
Let A and B be two factor von Neumann algebras. For A, B∈A, define by [A,B]∗=AB-BA∗ the new product of A and B. In this paper, we prove that a nonlinear bijective map Φ:A→B satisfies Φ([A,B]∗)=[Φ(A),Φ(B)]∗ for all A,B∈A if and only if Φ is a *-ring ...
Li, Chi-Kwong, Cui, Jianlian, Chi-Kwong Li, Jianlian Cui   +3 more
core   +1 more source

Nonlinear Mixed Left Bi-Skew Jordan and Right Jordan-Type Derivations on ∗-Algebra

Mathematics
Consider a unital ∗-algebra A defined over the complex field C. In this work, we establish that a mapping, referred to as a nonlinear mixed left bi-skew Jordan and right Jordan n-derivation, reduces to an additive ∗-derivation under certain conditions ...
Amal S. Alali, Md Arshad Madni
doaj   +1 more source

A note on cocycles in von Neumann algebras

, 1987
In this note, we study the comparison theory for cocycles in von Neumann algebras. In particular, we investigate quasi-equivalent cocylces.
Kichi-Suke Saito
core   +1 more source

HNN extensions of von Neumann algebras [PDF]

Reduced HNN extensions of von Neumann algebras (as well as C*-algebras) will be introduced, and their modular theory, factoriality and ultraproducts will be discussed.
Ueda, Yoshimichi, 93046
core  

VARIOUS TOPOLOGICAL FORMS OF VON NEUMANN REGULARITY IN BANACH ALGEBRAS

, 2011
In this article we study topological von Neumann regularity and principal von Neumann regularity of Banach algebras. Our main objective is comparing these two types of Banach algebras with some other known Banach algebras and with each other.
M Shadab, G H Esslamzadeh
core  

Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]

Commun Math Phys, 2023
Vernooij M, Wirth M.
europepmc   +1 more source

Nonlinear Mixed Skew Lie-Type Derivations on ∗-Algebras

Axioms
Consider A as a unital ∗-algebra. Given elements A,B∈A, the operations A•B=AB+BA* and [A,B]*=AB−BA* represent the skew Jordan product and the skew Lie product, correspondingly.
Mohammad Shane Alam, Omaima Alshanquiti
doaj   +1 more source

When left and right disagree: entropy and von Neumann algebras in quantum gravity with general AlAdS boundary conditions

Journal of High Energy Physics
Euclidean path integrals for UV-completions of d-dimensional bulk quantum gravity were recently studied in [1] by assuming that they satisfy axioms of finiteness, reality, continuity, reflection-positivity, and factorization.
Donald Marolf, Daiming Zhang
doaj   +1 more source