Results 1 to 10 of about 29 (29)
Dual group actions on C*-algebras and their description by Hilbert extensions [PDF]
, 2002 17 pages, no figures.-- MSC1991 codes: 47L65, 22D25, 46L40 (primary), 81T05 (secondary).MR#: MR1905661 (2003m:46101)Zbl#: Zbl 1002.22002Given a C*-algebra $A$, a discrete abelian group $X$ and a homomorphism $\Theta: X\to$ Out$A$ defining the dual action
Lledó, Fernando +4 more
core +1 more source
Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs
Special Matrices, 2015 In this paper, we study groupoid actions acting on arithmetic functions. In particular, we are interested in the cases where groupoids are generated by directed graphs. By defining an injective map α from the graph groupoid G of a directed graph G to the
Cho Ilwoo, Jorgensen Palle E. T.
doaj +1 more source
On a problem of commutativity of automorphims
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 411-412, 1998., 1998 In this note we provide a partial answer to a problem proposed by M. Brehr. We prove that if α, β are automorphisms of a commutative prime ring of characteristic not equal to 2 satisfying the equation α + α−1 = β + β−1, then either α = β or α = β−1. As a consequence α and β commute and in this situation the equation itself ensures the commutativity of ...
M. Anwar Chaudhry, A. B. Thaheem
wiley +1 more source
Matrices induced by arithmetic functions acting on certain Krein spaces
Special Matrices, 2017 In this paper, we study matrices induced by arithmetic functions under certain Krein-space representations induced by (multi-)primes less than or equal to fixed positive real numbers.
Cho Ilwoo
doaj +1 more source
Krein-space operators determined by free product algebras induced by primes and graphs
Special Matrices, 2017 In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number ...
Cho Ilwoo, Jorgensen Palle E. T.
doaj +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
Topology of the C*-algebra bundles
, 1999 Using the methods of the noncommutative geometry and the K{theory, we prove that the well{known Dixmier{Douady invariant of continuous{trace C {algebras and the Godbillon{ Vey invariant of the codimension{1 foliations on compact manifolds coincide ...
Igor Nikolaev
core
Linear maps between C*-algebras that are *-homomorphisms at a fixed point
, 2019 Let A and B be C*-algebras. A linear map T : A → B is said to be a*-homomorphism at an element z ∈ A if ab*= z in A implies T(ab*) = T(a) T(b)*= T(z), and c*d = z in A gives T(c * d) = T(c) * T(d) = T(z): Assuming that A is unital, we prove that every ...
Burgos, María J. +2 more
core
Topologies on central extensions of von Neumann algebras
Open Mathematics, 2012 Ayupov Shavkat +2 more
doaj +1 more source
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