Results 11 to 20 of about 249 (41)

2-local derivations on semi-finite von Neumann algebras

open access: yes, 2012
In the present paper we prove that every 2-local derivation on a semi-finite von Neumann algebra is a derivation.Comment: 3 ...
FARKHAD ARZIKULOV, Sh., SHAVKAT AYUPOV
core   +1 more source

Automorphisms of Hilbert space effect algebras equipped with Jordan triple product, the two-dimensional case

open access: yesPublicationes mathematicae (Debrecen), 2005
It is known that the automorphisms of the Hilbert space effect algebras equipped with Jordan triple product, where Hilbert space is of dimension not less than three, are implemented by unitary or antiunitary operators.
J. Marovt, T. Petek
semanticscholar   +1 more source

Noncommutative geometry of algebraic curves

open access: yes, 2009
A covariant functor from the category of generic complex algebraic curves to a category of the AF-algebras is constructed. The construction is based on a representation of the Teichmueller space of a curve by the measured foliations due to Douady ...
Nikolaev, Igor
core   +2 more sources

On embedding of the Bratteli diagram into a surface

open access: yes, 2008
We study C*-algebras O_{\lambda} which arise in dynamics of the interval exchange transformations and measured foliations on compact surfaces. Using Koebe-Morse coding of geodesic lines, we establish a bijection between Bratteli diagrams of such algebras
E.A. Sataev   +12 more
core   +3 more sources

Class-preserving automorphisms of universal hyperlinear groups [PDF]

open access: yes, 2013
We show that the group of class-preserving automorphisms of a universal hyperlinear group has index 2 inside the group of all automorphisms.Comment: 4 ...
Lupini, Martino
core  

On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras

open access: yes, 2018
We show that an outer action of a finite abelian group on a simple Cuntz-Krieger algebra is strongly approximately inner in the sense of Izumi if the action is given by diagonal quasi-free automorphisms and the associated matrix is aperiodic.
Barlak, Selçuk, Szabó, Gábor
core   +1 more source

Nonlinear maps preserving bi-skew Lie triple product on factor von Neumann algebras

open access: yesDemonstratio Mathematica
Let A $\mathcal{A}$ and B $\mathcal{B}$ be two factor von Neumann algebras with dimensions greater than 1. It is proved that if a bijective map Φ:A→B ${\Phi} : \mathcal{A}\to \mathcal{B}$ satisfies Φ([[A,B]⋄,C]⋄)=[[Φ(A),Φ(B)]⋄,Φ(C)]⋄ ${\Phi}\left ...
Kong Liang
doaj   +1 more source

Conjugate Dynamical Systems on C*-algebras

open access: yes, 2012
Let $(A, \alpha)$ and $(B, \beta)$ be C*-dynamical systems where $\alpha$ and $\beta$ are arbitrary *-endomorphisms. When $\alpha$ is injective or surjective, we show that the semicrossed products $A \times_\alpha \mathbb{Z}$ and $B \times_\beta \mathbb ...
Davidson, Kenneth R.   +1 more
core   +1 more source

On the normalizer of certain subalgebras of group-measure factors

open access: yes, 1982
We study operator algebras constructed from ergodic actions of discrete groups on compact Lebesgue spaces. We show that under appropriate conditions, the normalizer of a subalgebra corresponding to a quotient action depends on the relative elementary ...
J. Packer
semanticscholar   +1 more source

2-local triple derivations on von Neumann algebras [PDF]

open access: yes, 2014
We prove that every {\rm(}not necessarily linear nor continuous{\rm)} 2-local triple derivation on a von Neumann algebra $M$ is a triple derivation, equivalently, the set Der$_{t} (M)$, of all triple derivations on $M,$ is algebraically 2-reflexive in ...
Kudaybergenov, Karimbergen   +3 more
core  

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