Results 11 to 20 of about 249 (40)
Labeled trees and localized automorphisms of the Cuntz algebras [PDF]
, 2008 We initiate a detailed and systematic study of automorphisms of the Cuntz algebras On which preserve both the diagonal and the core UHF-subalgebra. A general criterion of invertibility of endomorphisms yielding such automorphisms is given.
R. Conti, W. Szymański
semanticscholar +1 more source
n-fold Jordan product commuting maps with a λ-Aluthge transform
, 2020 Let B(H) be the set of all bounded linear operators from H to H , where H is a complex Hilbert space. In this paper, we study the properties of T when the λ -Aluthge transform of Tn is T . Also we prove that the bijective map Φ : B(H) →B(K) commutes with
Youn in Kim, Eungil Ko
semanticscholar +1 more source
Fourier Invariant Partially Approximating Subalgebras of the Irrational Rotation C*‐Algebra [PDF]
, 2001 For a dense Gδ‐set of parameters, the irrational rotation algebra is shown to contain infinitely many C*‐subalgebras satisfying the following properties.
S. Walters
semanticscholar +1 more source
Fell bundles over groupoids [PDF]
, 1996 We study the C*-algebras associated to Fell bundles over groupoids and give a notion of equivalence for Fell bundles which guarantees that the associated C*-algebras are strong Morita equivalent.
A. Kumjian
semanticscholar +1 more source
Multiplicative isomorphisms at invertible matrices
, 2014 Let Mn be the algebra of all n n matrices with entries in the field of real numbers. For a matrix Z 2Mn, it is said that a linear map T WMn!Mn is multiplicative at Z if T .AB/D T .A/T .B/ whenever AB DZ.
A. Armandnejad, M. Jamshidi
semanticscholar +1 more source
Publicationes 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
Nonlinear maps preserving bi-skew Lie triple product on factor von Neumann algebras
Demonstratio MathematicaLet 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
, 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
, 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]
, 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
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