منابع مشابه
On Preserving Properties of Linear Maps on $C^{*}$-algebras
Let $A$ and $B$ be two unital $C^{*}$-algebras and $varphi:A rightarrow B$ be a linear map. In this paper, we investigate the structure of linear maps between two $C^{*}$-algebras that preserve a certain property or relation. In particular, we show that if $varphi$ is unital, $B$ is commutative and $V(varphi(a)^{*}varphi(b))subseteq V(a^{*}b)$ for all $a,bin A$, then $varphi$ is a $*$-homomorph...
متن کاملLocal tracial C*-algebras
Let $Omega$ be a class of unital $C^*$-algebras. We introduce the notion of a local tracial $Omega$-algebra. Let $A$ be an $alpha$-simple unital local tracial $Omega$-algebra. Suppose that $alpha:Gto $Aut($A$) is an action of a finite group $G$ on $A$ which has a certain non-simple tracial Rokhlin property. Then the crossed product algebra $C^*(G,A,alpha)$ is a unital local traci...
متن کاملA Note on Spectrum Preserving Additive Maps on C*-Algebras
Mathieu and Ruddy proved that if be a unital spectral isometry from a unital C*-algebra Aonto a unital type I C*-algebra B whose primitive ideal space is Hausdorff and totallydisconnected, then is Jordan isomorphism. The aim of this note is to show that if be asurjective spectrum preserving additive map, then is a Jordan isomorphism without the extraassumption totally disconnected.
متن کاملLocal higher derivations on C*-algebras are higher derivations
Let $mathfrak{A}$ be a Banach algebra. We say that a sequence ${D_n}_{n=0}^infty$ of continuous operators form $mathfrak{A}$ into $mathfrak{A}$ is a textit{local higher derivation} if to each $ainmathfrak{A}$ there corresponds a continuous higher derivation ${d_{a,n}}_{n=0}^infty$ such that $D_n(a)=d_{a,n}(a)$ for each non-negative integer $n$. We show that if $mathfrak{A}$ is a $C^*$-algebra t...
متن کاملlocal tracial c*-algebras
let $omega$ be a class of unital $c^*$-algebras. we introduce the notion of a local tracial $omega$-algebra. let $a$ be an $alpha$-simple unital local tracial $omega$-algebra. suppose that $alpha:gto $aut($a$) is an action of a finite group $g$ on $a$ which has a certain non-simple tracial rokhlin property. then the crossed product algebra $c^*(g,a,alpha)$ is a unital local traci...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2016
ISSN: 0024-3795
DOI: 10.1016/j.laa.2015.12.024